Article
Ecology
Juan Manuel Pastor, Luciano Stucchi, Javier Galeano
Summary: The logistic equation is a simple way to limit population growth. By using a general logistic model, various ecological interactions can be simulated and stable solutions can be obtained through a system of linear equations. This model can represent complex ecological systems.
ECOLOGICAL MODELLING
(2021)
Article
Physics, Multidisciplinary
I Area, J. J. Nieto
Summary: By using a series of fractional powers, a representation of the solution to the fractional logistic equation is presented and proven to be the exact solution in the simplest case. Numerical approximations demonstrate the good approximations obtained by truncating the fractional power series.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Chemistry, Multidisciplinary
Grzegorz Rzadkowski, Giuseppe Figlia
Summary: In this paper, we model the cumulative number of COVID-19 infections using a multilogistic function and logistic wavelets, implementing them into Matlab's Wavelet Toolbox. Through examples from several countries, we demonstrate the effectiveness of this method in fitting curves to existing data, as well as its predictive value and early warning capabilities regarding the size of new epidemic waves.
APPLIED SCIENCES-BASEL
(2021)
Article
Multidisciplinary Sciences
Laura Boyle, Sofia Hletko, Jenny Huang, June Lee, Gaurav Pallod, Hwai-Ray Tung, Richard Durrett
Summary: The main mathematical result of this paper is that the change of variables in the ordinary differential equation for the competition of two infections in an SIR model can be transformed into a logistic differential equation, which accurately predicts the rapid turnover of dominant variants. The fitting of the logistic equation to data shows sensible estimates of the increase in infectivity. These arguments can be applied to any epidemic modeled by SIR equations.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Mathematics, Interdisciplinary Applications
Junze Yin
Summary: This paper constructs a theoretical framework for analyzing dynamic fractals and extrapolating their future trends based on their fractal dimension. The framework is then applied to study the urbanization of Boston.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Yang Xu, Jian-Wen Sun
Summary: In this paper, we study the positive solutions of a class of degenerate logistic equations with nonlocal dispersal. By using upper-lower solutions, we establish the existence and uniqueness of positive solutions. Our interesting result shows that spatial degeneracy does not alter the positive solutions.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Multidisciplinary Sciences
Steve Dussault, Valerio Faraoni, Andrea Giusti
Summary: This study establishes formal analogies between the logistic equation and homogeneous, isotropic relativistic cosmology, leading to the discovery of new symmetries.
Article
Public, Environmental & Occupational Health
Zhuoyang Li, Shengnan Lin, Jia Rui, Yao Bai, Bin Deng, Qiuping Chen, Yuanzhao Zhu, Li Luo, Shanshan Yu, Weikang Liu, Shi Zhang, Yanhua Su, Benhua Zhao, Hao Zhang, Yi-Chen Chiang, Jianhua Liu, Kaiwei Luo, Tianmu Chen
Summary: This study compares and analyzes the application of the logistic differential equation (LDE) model and the generalized logistic differential equation (GLDE) model in infectious disease simulation. The results show that the GLDE model provides a more accurate fit to the data and can handle asymmetric data, while the LDE model is more advantageous in predicting the acceleration week of epidemics.
FRONTIERS IN PUBLIC HEALTH
(2022)
Article
Mathematics, Applied
Jian-Wen Sun, Ming-Ming Fan
Summary: In this paper, the perturbation problem for a periodic logistic equation with indefinite weight functions and nonlocal dispersal is studied. The goal is to determine the asymptotic behavior of positive solutions for both large and small dispersal rates. It is shown that the positive solution uniformly approaches the maximum nonnegative solution of the kinetic equation as the dispersal rate tends to zero. However, when the dispersal rate tends to infinity, the positive solution converges uniformly to the maximum nonnegative solution of the kinetic equation, which is independent of spatial locations. The main results reveal that a large dispersal rate corresponds to a pure kinetic equation, while a small dispersal rate corresponds to a kinetic equation with parameters.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2023)
Article
Mathematics, Applied
Yan-Hua Xing, Jian-Wen Sun
Summary: This paper investigates the positive solutions of nonlocal dispersal equations and explores the influence of boundary condition and spatial heterogeneity on the asymptotic behavior of these solutions. By analyzing the perturbation equations, the paper derives the asymptotic profiles and limiting behaviors. The results demonstrate how the patterns of nonlocal dispersal equations are altered by the boundary condition and spatial heterogeneity.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Applied
Manuel Delgado, Monica Molina-Becerra, Antonio Suarez
Summary: This study investigates the existence of positive solutions of a logistic equation in the entire space with a nonlocal reaction term. By applying a bifurcation method and singular boundary equations, a priori bounds of the solutions are obtained. The results show a significant change in the behavior of the set of positive solutions depending on the sign of the nonlocal term.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2021)
Article
Mathematics, Applied
A. Ghose-Choudhury, Sudip Garai
Summary: This article discusses the use of a comparison method to obtain exact solutions for nonlinear partial differential equations (PDEs) through their traveling wave reductions. The method, proposed by N. A. Kudryashov, is extended to include solutions expressed in terms of both the logistic function and the tanh$$ \tanh $$-class of functions. The article derives the standard set of second-order ordinary differential equations (ODEs) that have the logistic and tanh$$ \tanh $$ functions as solutions and also extends the analysis to third-order cases.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Environmental Sciences
Zhenjiang Yang, Suiliang Huang, Wenwen Kong, Hui Yu, Fengyuan Li, Zobia Khatoon, Muhammad Nabil Ashraf, Waseem Akram
Summary: This study demonstrates that using Tong Wei (TW) feed can lead to better growth performance of crucian carp with lesser environmental impacts. The presence of prometryn can indirectly affect fish growth and water quality.
ECOTOXICOLOGY AND ENVIRONMENTAL SAFETY
(2021)
Article
Public, Environmental & Occupational Health
Tianlong Yang, Yao Wang, Laishun Yao, Xiaohao Guo, Mikah Ngwanguong Hannah, Chan Liu, Jia Rui, Zeyu Zhao, Jiefeng Huang, Weikang Liu, Bin Deng, Li Luo, Zhuoyang Li, Peihua Li, Yuanzhao Zhu, Xingchun Liu, Jingwen Xu, Meng Yang, Qinglong Zhao, Yanhua Su, Tianmu Chen
Summary: This study compares the disease fitting effects of the logistic differential equation (LDE) model and the generalized logistic differential equation (GLDE) model using data on multiple infectious diseases in Jilin Province. The GLDE model provides a better fit and estimates earlier warning times compared to the LDE model. Additionally, the warning removed week (WRW) estimated by the GLDE model is more lagged and has a longer warning time.
Article
Agronomy
Yufeng Zou, Qaisar Saddique, Wenjun Dong, Ying Zhao, Xi Zhang, Jianchao Liu, Dianyuan Ding, Hao Feng, Ole Wendroth, Kadambot H. M. Siddique
Summary: The study revealed that plastic film mulching has a compensatory effect on crop growing degree days by increasing soil temperature, and the logistic equation can be used to describe and quantify this compensatory effect. It was found that a terminal time exists for the compensatory effect window during winter wheat and summer maize growing seasons, and this terminal time can be estimated using thermal time nodes. Compensatory coefficients tend to increase with maize plant development, and the minimum data requirement using a logistic equation to calculate compensatory coefficients includes data for staged plant height and mean daily air temperature.
FIELD CROPS RESEARCH
(2021)
Article
Geochemistry & Geophysics
Ana M. Negredo, Jeroen van Hunen, Juan Rodriguez-Gonzalez, Javier Fullea
Summary: The origin and evolution of the Canary Islands hotspot are still a matter of debate. In addition to the mantle plume hypothesis, the Edge Driven Convection (EDC) mechanism has been proposed as a possible mechanism. Numerical simulations in this study show that models only considering EDC require distinct craton edges and predict narrow areas of partial melting. Models with the ascent of an upper-mantle plume result in asymmetric mantle flow patterns and a westward decrease in the age of the islands, in line with observations. Therefore, laterally moving plumes related to lithospheric heterogeneities could explain the discrepancies between hotspot rates and plate velocities for the Canary Islands hotspot.
EARTH AND PLANETARY SCIENCE LETTERS
(2022)
Article
Biodiversity Conservation
Javier Morente-Lopez, Jamie M. Kass, Carlos Lara-Romero, Josep M. Serra-Diaz, Jose Carmen Soto-Correa, Robert P. Anderson, Jose M. Iriondo
Summary: This study examines the impact of environmental conditions on genetically determined phenotypic differentiation using ecological niche models (ENMs) and common garden experiments. The results suggest that ENMs can be useful in identifying contrasting selective pressures within a species' range. Linking ENMs with common garden experiments provides a theoretical and practical approach to studying adaptive processes and understanding the conservation value of populations inhabiting environmentally marginal areas under climate change.
GLOBAL CHANGE BIOLOGY
(2022)
Article
Evolutionary Biology
Sandra Sacristan-Bajo, Alfredo Garcia-Fernandez, Carlos Lara-Romero, Samuel Prieto-Benitez, Pablo Tabares, Javier Morente-Lopez, Maria Luisa Rubio Teso, Aitor Alameda-Martin, Elena Torres, Jose Maria Iriondo
Summary: In the context of global warming, the study investigated the adaptive potential for advancing flowering onset in Lupinus angustifolius seeds collected from different populations in Spain. The results revealed that northern populations had a greater adaptive potential and earlier flowering was associated with changes in other traits. Assessing the ability of populations to cope with climate change is crucial for effective species and population management.
EVOLUTIONARY APPLICATIONS
(2023)
Article
Energy & Fuels
M. Torne, I. Jimenez-Munt, A. M. Negredo, J. Fullea, J. Verges, I. Marzan, J. Alcalde, E. Gomez-Rivas, C. Garcia de la Noceda
Summary: This paper summarizes the characteristics of geothermal energy and presents the temperature distribution and fluid circulation at different depths in the Iberian Peninsula. The temperatures at depths of 5 km and 10 km are above 110°C and 190°C respectively, while the temperature at 20 km depth reaches 350°C. At Moho depth, the temperature ranges from 450°C to 800°C. The Peninsula has great potential for geothermal energy utilization, but challenges such as groundwater availability and drilling costs need to be addressed.
Article
Engineering, Multidisciplinary
Pau Esteve, Jose J. Ramasco, Massimiliano Zanin
Summary: This study analyzes a large dataset of European flights from 2015 to 2018 and finds that air route networks are highly dynamic, with major topological changes occurring at the end of 2017. The overall resilience of the network remains constant over time despite an increase in traffic. These findings emphasize the importance of considering the evolution of air route networks in the study of traffic flows.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2023)
Article
Mathematics, Applied
Johann H. Martinez, Jose J. Ramasco, Massimiliano Zanin
Summary: Entropy and time asymmetry are intertwined aspects of a system's dynamics, and metrics based on ordinal patterns have been designed to quantify both properties in time series. However, the relationship between these metrics is not well understood. In this study, an entropy-time asymmetry plane is constructed and evaluated on synthetic and real-world time series, revealing that the two metrics can behave independently due to the presence of turning point patterns.
Article
Geochemistry & Geophysics
Alberto Jimenez-Diaz, Ana M. Negredo, Jon F. Kirby, Pilar Sanchez-Pastor, Javier Fullea, Javier Ruiz, Marta Perez-Gussinye, Chuanhai Yu
Summary: The ECA region consists of various hotspots with different characteristics. The Canary hotspot has a much higher effective elastic thickness (T-e) compared to other hotspots and is the largest mechanical feature in the ECA. There is no obvious correlation between the T-e of ECA hotspots (except Azores) and the presence of low shear-wave velocity anomalies in the underlying mantle.
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS
(2023)
Article
Multidisciplinary Sciences
Mattia Mazzoli, Riccardo Gallotti, Filippo Privitera, Pere Colet, Jose J. Ramasco
Summary: Proximity social interactions are crucial for infectious diseases transmission. Locations like transportation hubs are characterized by constant in and out flow of people. Using anonymized individuals' trajectories data, the authors analyze London Heathrow's role as a potential superspreader and propose a spatial immunization policy to reduce disease spreading risk.
NATURE COMMUNICATIONS
(2023)
Article
Geosciences, Multidisciplinary
Pedro J. Gea, Ana M. Negredo, Flor de Lis Mancilla
Summary: This study investigates the impact of the Gibraltar slab dynamics on the deformation of the overriding Alboran lithosphere using 2D numerical modelling. The results show a switch in the stress state of the overriding plate from extensional stresses to compressional stresses during slab rollback. Most of the crustal and lithospheric deformation occurs during fast slab rollback and plate extension in the first 10 million years of evolution.
FRONTIERS IN EARTH SCIENCE
(2023)
Review
Plant Sciences
Elena Torres, Alfredo Garcia-Fernandez, Diana Inigo, Carlos Lara-Romero, Javier Morente-Lopez, Samuel Prieto-Benitez, Maria Luisa Rubio Teso, Jose M. Iriondo
Summary: Climate change poses a novel threat to biodiversity that urgently requires the development of adequate conservation strategies. While migration has been used as a strategy for adaptation, facilitated adaptation is only beginning to be considered as a potential approach. This article presents a review of the conceptual framework for facilitated adaptation, proposing two methodological approaches and discussing associated risks and difficulties.
Article
Humanities, Multidisciplinary
Thomas Louf, Bruno Goncalves, Jose J. Ramasco, David Sanchez, Jack Grieve
Summary: Cultural areas are important in understanding human behavior and attitudes towards different issues. However, the process of selecting common traits that define a cultural area is somewhat arbitrary. This study introduces a method to infer cultural regions based on the analysis of large datasets from microblogging posts. The method identifies regional variations in written discourse by analyzing geotagged tweets and clustering the data to uncover clear cultural areas and the topics of discussion that define them.
HUMANITIES & SOCIAL SCIENCES COMMUNICATIONS
(2023)
Article
Economics
Javier Garcia-Algarra, Gonzalo Gomez-Bengoechea, Mary Luz Mouronte-Lopez
Summary: The middle-income trap refers to the slowdown in the growth trend of a given country. This paper proposes a general approach to detect middle-income traps and potential stagnation paths based on past values of GDP or GNI relative to a high-income country. Using the framework of dynamical systems theory, the study characterizes growth patterns and identifies the development stage of different countries and regions. The results show a strong correlation between the fastest-converging economies and their investment attractiveness.
COMPUTATIONAL ECONOMICS
(2023)
Article
Computer Science, Interdisciplinary Applications
G. Caldarelli, E. Arcaute, M. Barthelemy, M. Batty, C. Gershenson, D. Helbing, S. Mancuso, Y. Moreno, J. J. Ramasco, C. Rozenblat, A. Sanchez, J. L. Fernandez-Villacanas
Summary: While digital twins are currently used to represent cities and their physical structures, integrating complexity science into this approach is crucial to provide more understandable and reliable models and results. The utilization of complexity science theories and methods is urgently required to guide the development and implementation of digital twins in cities. By considering both the short-term and long-term dynamics of cities and their interactions, the theoretical framework from complexity science presents a new approach that treats cities as interwoven self-organizing phenomena, resembling living systems to some extent.
NATURE COMPUTATIONAL SCIENCE
(2023)
Article
Physics, Fluids & Plasmas
David Abella, Maxi San Miguel, Jose J. Ramasco
Summary: We investigated the non-Markovian effects of aging on binary-state dynamics in complex networks. Aging is defined as the tendency of agents to be less likely to change their state the longer they have been in the current state, resulting in heterogeneous activity patterns. We focused on the aging effects in the Threshold model, which is used to explain the adoption process of new technologies. Through analytical approximations and Monte Carlo simulations, we found that aging slows down the cascade dynamics towards the full-adoption state and alters the growth laws of adopters' density.
Article
Physics, Fluids & Plasmas
Luciano Stucchi, Javier Galeano, Juan Manuel Pastor, Jose Maria Iriondo, Jose A. Cuesta
Summary: The study demonstrates that transitions in ecological interactions may arise as a consequence of evolution, using a combination of adaptive dynamics and a generalized logistic model of population dynamics. The two-microbial toy model introduced in the study, though simple, showcases various potential ecological transitions, some of which mirror those found in nature. Overall, the model displays a clear trend towards the emergence of mutualism.
Article
Biology
Iain Hunter, Raz Leib
Summary: Natural movement is related to health, but it is difficult to measure. Existing methods cannot capture the full range of natural movement. Comparing movement across different species helps identify common biomechanical and computational principles. Developing a system to quantify movement in freely moving animals in natural environments and relating it to life quality is crucial. This study proposes a theoretical framework based on movement ability and validates it in Drosophila.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Andy Gardner
Summary: Fisher's geometric model is a useful tool for predicting key properties of Darwinian adaptation, and here it is applied to predict differences between the evolution of altruistic versus nonsocial phenotypes. The results suggest that the effect size maximizing probability of fixation is smaller in the context of altruism and larger in the context of nonsocial phenotypes, leading to lower overall probability of fixation for altruism and higher overall probability of fixation for nonsocial phenotypes.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Thomas F. Pak, Joe Pitt-Francis, Ruth E. Baker
Summary: Cell competition is a process where cells interact in multicellular organisms to determine a winner or loser status, with loser cells being eliminated through programmed cell death. The winner cells then populate the tissue. The outcome of cell competition is context-dependent, as the same cell type can win or lose depending on the competing cell type. This paper proposes a mathematical framework to study the emergence of winner or loser status, highlighting the role of active cell death and identifying the factors that drive cell competition in a cell-based modeling context.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Haruto Tomizuka, Yuuya Tachiki
Summary: Batesian mimicry is a strategy in which palatable prey species resemble unpalatable prey species to avoid predation. The evolution of this mimicry plays a crucial role in protecting the unpalatable species from extinction.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Jason W. Olejarz, Martin A. Nowak
Summary: Gene drive technology shows potential for population control, but its release may have unpredictable consequences. The study suggests that the failure of suppression is a natural outcome, and there are complex dynamics among wild populations.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Hamid Ravaee, Mohammad Hossein Manshaei, Mehran Safayani, Javad Salimi Sartakhti
Summary: Gene expression analysis is valuable for cancer classification and phenotype identification. IP3G, based on Generative Adversarial Networks, enhances gene expression data and discovers phenotypes in an unsupervised manner. By converting gene expression profiles into images and utilizing IP3G, new phenotype profiles can be generated, improving classification accuracy.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Beatrix Rahnsch, Leila Taghizadeh
Summary: This study forecasts the evolution of the COVID-19 pandemic in Germany using a network-based inference method and compares it with other approaches. The results show that the network-inference based approach outperforms other methods in short-to mid-term predictions, even with limited information about the new disease. Furthermore, predictions based on the estimation of the reproduction number in Germany can yield more reliable results with increasing data availability, but still cannot surpass the network-inference based algorithm.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Rongsheng Huang, Qiaojun Situ, Jinzhi Lei
Summary: Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. Random inheritance of epigenetic states plays a pivotal role in stem cell differentiation. This computational model provides valuable insights into the intricate mechanism governing stem cell differentiation and cell reprogramming, offering a promising path for enhancing the field of regenerative medicine.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Patrick Vincent N. Lubenia, Eduardo R. Mendoza, Angelyn R. Lao
Summary: This study compares insulin signaling in healthy and type 2 diabetes states using reaction network analysis. The results show similarities and differences between the two conditions, providing insights into the mechanisms of insulin resistance, including the involvement of other complexes, less restrictive interplay between species, and loss of concentration robustness in GLUT4.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Nuverah Mohsin, Heiko Enderling, Renee Brady-Nicholls, Mohammad U. Zahid
Summary: Mathematical modeling is crucial in understanding radiobiology and designing treatment approaches in radiotherapy for cancer. This study compares three tumor volume dynamics models and analyzes the implications of model selection. A new metric, the point of maximum reduction of tumor volume (MRV), is introduced to quantify the impact of radiotherapy. The results emphasize the importance of caution in selecting models of response to radiotherapy due to the artifacts imposed by each model.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Armindo Salvador
Summary: Michael Savageau's Biochemical Systems Analysis papers have had a significant impact on Systems Biology, generating core concepts and tools. This article provides a brief summary of these papers and discusses the most relevant developments in Biochemical Systems Theory since their publication.
JOURNAL OF THEORETICAL BIOLOGY
(2024)