Article
Green & Sustainable Science & Technology
Nokhaiz Tariq Khan, Javed Aslam, Ateeq Abdul Rauf, Yun Bae Kim
Summary: The South Korean aviation market has grown rapidly with the emergence of Low-Cost Carriers (LCCs), leading the Full-Service Carriers (FSCs) to adopt the airline-within-airline (AWA) model. Despite some legal challenges, AWA has shown promising performance in the South Korean market.
Article
Mathematics, Applied
Shanshan Chen, Jie Liu, Yixiang Wu
Summary: In this paper, we investigate a three-patch two-species Lotka-Volterra competition model in a stream network. Individual movements are influenced by both random and directed movements, and the two species are assumed to be identical except for their movement rates. The heterogeneous environment and higher carrying capacity in upstream locations have a significant impact on the competition outcomes. We examine the invasion potential of one species against a resident species and find that the spatial heterogeneity and drift rates greatly affect the competition outcomes of stream species.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2023)
Article
Ecology
Carlos A. Servan, Stefano Allesina
Summary: Ecological assembly is a fundamental process that is not well understood. By analyzing assembly graphs, one can better understand the competition and combination patterns of different species during evolution. This can advance our understanding of ecological organization and help inform ecological restoration and community design.
Article
Mathematics, Interdisciplinary Applications
Mohammad Momenzadeh, Olivia Ada Obi, Evren Hincal
Summary: Our study is based on the modification of the widely known predator-prey equation, the Lotka-Volterra competition model, to investigate the population of healthy and cancerous cells within tumor tissue in cancer patients. We utilize fractional differentiation and bi-geometric calculus to obtain a more flexible model. The Arzela-Ascoli theorem is applied to guarantee the existence and uniqueness of the model, and the bi-geometric analogue of the numerical method provides an effective tool for approximating the solution. The visual graphs generated using MATLAB program further enhance our understanding.
FRACTAL AND FRACTIONAL
(2022)
Article
Ecology
Julie Tamura, Janeane Ingram, Alynn M. Martin, Christopher P. Burridge, Scott Carver
Summary: This study demonstrates strong negative relationships between bare-nosed wombats and eastern grey kangaroos, supporting the existence of resource competition through modified Lotka-Volterra competition models. Bare-nosed wombats are slightly superior competitors to eastern grey kangaroos, and intraspecific competition is almost twice as strong as interspecific competition. Additionally, the study provides insights into transmission rates associated with mange disease and removal rates due to culling, the introduction of predator species, and drought.
Article
Ecology
Brian A. Lerch, Akshata Rudrapatna, Nasser Rabi, Jonas Wickman, Thomas Koffel, Christopher A. Klausmeier
Summary: Despite the well known scale-dependency of ecological interactions, little attention has been paid to understanding the dynamic interplay between different spatial scales, especially in metacommunity theory. This study analyzes three spatial models that build on the classic two-species competition model to reveal the importance of feedback between local and regional scales in competitive metacommunities and provide a unifying framework for understanding ecological communities.
ECOLOGICAL MONOGRAPHS
(2023)
Article
Mathematics, Interdisciplinary Applications
A. E. Matouk, Bachioua Lahcene
Summary: We propose a generalisation of the Caputo fractional differential operator using the generalised Gamma function instead of the Euler Gamma function. The new operator introduces a fractional parameter that influences the dynamics of the model. We explore the mathematical properties of the generalised Caputo operator and apply it to predator-prey models like the fractional Hastings-Powell food chain model and the fractional generalised Lotka-Volterra model. Simulation results demonstrate a variety of chaotic attractors in these systems when varying the parameter of the new operator.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Shuling Yan, Shangjiang Guo
Summary: This paper investigates a stage-structure competition-diffusion model with spatial heterogeneity, establishing the existence and stability of spatially non-homogeneous steady-state solutions under suitable assumptions. The global stability of the steady-state solutions is particularly described in the case of weak competition.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Xu Pan, Liangchen Wang
Summary: This study investigates a fully parabolic two-species chemotaxis system with nonlinear sensitivity and signal secretion. It is proven that the system has a global bounded classical solution under different parameter conditions when the initial data satisfy appropriate regularization assumptions. This work partially builds on results reported by Ren and Liu (2019) [22].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2021)
Article
Automation & Control Systems
Peng Duan, Xinkai Dong, Qinqin Sun, Xiuye Wang, Ye-Hwa Chen
Summary: This paper addresses the problem of optimal resource allocation for technology innovation ecosystem through a creative combination of dynamic modeling, control theory, and game theory. It constructs an uncertain dynamical system to describe the dynamics of the ecosystem and designs an adaptive robust resource allocation strategy to achieve the basic goal of resource allocation. A two-player cooperative game is formulated to seek the optimal control parameters and achieve the further goal of optimal balance between control inputs and system performance.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Mathematics, Applied
A. Acharya, S. Bandyopadhyay, J. T. Cronin, J. Goddard II, A. Muthunayake, R. Shivaji
Summary: Understanding the impact of landscape heterogeneity on population dynamics and species coexistence is crucial. This study explores the dynamics of the diffusive Lotka-Volterra competition model in a fragmented landscape, providing a mechanistic connection between the model and its biological underpinnings. The findings highlight the tradeoff between dispersal and competitive ability as a key mechanism for promoting coexistence among competing species.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2023)
Article
Ecology
Holly V. Moeller, Roger M. Nisbet, Adrian C. Stier
Summary: Multispecies mutualisms are influenced by predation, with predators reducing mutualist abundance and service provision. However, a mathematical model shows that predators can have indirect positive effects on hosts when they preferentially consume competitively dominant, lower-quality mutualists. The direction and strength of predator effects depend on asymmetries in mutualist competition, service provision, and predation vulnerability, indicating that changes in predation strength can lead to dynamic responses in mutualist communities.
Article
Thermodynamics
Yunxin Zhang, Huan Guo, Ming Sun, Sifeng Liu, Jeffrey Forrest
Summary: This paper proposes a novel grey Lotka-Volterra model (GLVM) for energy consumption forecasting, which analyzes the changes in energy consumption structure. By analyzing the consumption structure of different types of energy in China, the United States, and Germany, it is concluded that the GLVM is superior to other existing models in accuracy and interpretability.
Article
Mathematics, Applied
W. I. L. L. I. A. N. Cintra, M. O. N. I. C. A. Molina-Becerra, A. N. T. O. N. I. O. Suarez
Summary: In this paper, we investigate a diffusive Lotka-Volterra system with nonlocal terms in the reaction functions. We analyze the main types of interactions between species, including competition, predator-prey, and cooperation. We provide results on the existence and non-existence of positive solutions using bifurcation method and a priori bounds.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
(2022)
Article
Biology
J. Dimaschko, V. Shlyakhover, M. Iabluchanskyi
Summary: This article discusses the impact of strong biological correlations on the epidemic process, converting the traditional SIRS model into a 3D Lotka-Volterra model and introducing the correlation strength parameter K. Highly correlated epidemics exhibit oscillations with a period of less than one year, as seen in the COVID-19 pandemic. Weakly correlated epidemics have oscillation periods longer than a year, and may not manifest in the presence of regular annual outbreaks, such as ordinary flu. The 3D Lotka-Volterra model enables the prediction of future oscillation periods based on known clinical parameters T-omega and T-sigma.
JOURNAL OF MATHEMATICAL BIOLOGY
(2023)
Article
Physics, Fluids & Plasmas
George W. A. Constable, Alan J. McKane
Article
Multidisciplinary Sciences
George W. A. Constable, Tim Rogers, Alan J. McKane, Corina E. Tarnita
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2016)
Article
Genetics & Heredity
Carl Veller, Pavitra Muralidhar, George W. A. Constable, Martin A. Nowak
Article
Physics, Mathematical
George W. A. Constable, Alan J. McKane
JOURNAL OF STATISTICAL PHYSICS
(2018)
Article
Multidisciplinary Sciences
Shashi Thutupalli, Sravanti Uppaluri, George W. A. Constable, Simon A. Levin, Howard A. Stone, Corina E. Tarnita, Clifford P. Brangwynne
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2017)
Article
Genetics & Heredity
Carl Veller, Pavitra Muralidhar, George W. A. Constable, Martin A. Nowak
Article
Ecology
George W. A. Constable, Hanna Kokko
NATURE ECOLOGY & EVOLUTION
(2018)
Article
Biology
George W. A. Constable, Alan J. McKane
JOURNAL OF THEORETICAL BIOLOGY
(2014)
Article
Physics, Fluids & Plasmas
George W. A. Constable, Alan J. McKane
Article
Genetics & Heredity
Peter Czuppon, George W. A. Constable
Article
Multidisciplinary Sciences
Yvonne Krumbeck, George W. A. Constable, Tim Rogers
ROYAL SOCIETY OPEN SCIENCE
(2020)
Article
Multidisciplinary Sciences
Yvonne Krumbeck, Qian Yang, George W. A. Constable, Tim Rogers
Summary: Understanding the relation between complexity and stability in large dynamical systems, like ecosystems, is a key question in complexity theory. Most theories focus on linear stability around equilibrium points, but stability has other meanings in empirical ecological literature. By applying random matrix theory, analytical predictions for fluctuation spectra of complex ecological networks can be derived, revealing distinct signatures in fluctuation spectrum based on network structures. The theory can be applied to analyze ecological time-series data, extracting hidden information from fluctuations driven by intrinsic and extrinsic noise.
NATURE COMMUNICATIONS
(2021)
Article
Cell Biology
George W. A. Constable, Hanna Kokko
Summary: This paper discusses the issue that traditional models for the evolution of anisogamy do not consider the possibility of parthenogenetic reproduction, and highlights the impact of parthenogenesis on the evolution of anisogamy. The study shows that parthenogenesis can stabilize isogamy and explores two ways for one mating type to take over the entire population.
Article
Physics, Fluids & Plasmas
George W. A. Constable, Alan J. McKane
