Article
Mathematics, Applied
Miaomiao Chen, Rong Yuan
Summary: This study proposes an age-structured predator-prey model and investigates the optimal harvesting problem of fishery resources with a protected area. Numerical simulations indicate that the creation of marine reserves is beneficial for the recovery of fishery resources, increasing fish abundance, and protecting biodiversity and ecosystem structure.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Entomology
Marie C. Russell, Lauren J. Cator
Summary: This study assessed the impact of Megacyclops viridis copepods on the survival and traits of Aedes albopictus mosquito larvae. While copepod predation caused a slight increase in late instar mortality, there was no significant impact on development time or size. This supports the use of M. viridis copepods as a biocontrol agent against Ae. albopictus.
Article
Mathematics, Applied
Przemyslaw Gawronski, Alfio Borzi, Krzysztof Kulakowski
Summary: This study investigates the system of two resources and one consumer within the Rosenzweig-MacArthur model, with a Holling type II functional response. The results show that oscillations of C and mutually synchronized R-i are destabilized when consumption rates are modified, leading the system towards fixed points or limit cycles with smaller amplitudes. The consumer is unable to change the preferred resource due to the symmetry between the resources.
Article
Mathematics, Applied
Lei Zhang, Rui Yang, Li Zhang, Lisha Wang
Summary: This paper proposes the Crank-Nicolson Fourier spectral method for solving the space fractional Schrodinger equation with wave operators, studying in detail the ability of the numerical method to maintain the conservation of mass and energy, as well as the convergence with spectral accuracy in space and second-order accuracy in time. The numerical experiments verify the properties of the conservative difference scheme and demonstrate the correctness of theoretical results.
JOURNAL OF FUNCTION SPACES
(2021)
Article
Automation & Control Systems
Carlos Martinez, Bruno Assis Pessi, Olivier Bernard
Summary: Zooplankton contamination is a significant constraint in large-scale microalgal cultivation systems, and its development can be controlled by regulating the dilution rate. However, finding the best control strategy for the dilution rate is not straightforward. This study explores the role of dilution rate in controlling zooplankton populations and optimizing biomass productivity. The results suggest that in the long-term operation, the optimal constant dilution rate should ensure the eradication of zooplankton populations.
JOURNAL OF PROCESS CONTROL
(2022)
Article
Biology
Tao Wen, Eugene Koonin, Kang Hao Cheong
Summary: The study suggests that dormancy can be an effective adaptive strategy to outcompete actively prey, replicating the game-theoretic Parrondo's paradox where two losing strategies combine to achieve a winning outcome. Species with the ability to switch between active and dormant forms can dominate communities through competitive exclusion.
Article
Mathematical & Computational Biology
Qinglong Wang, Shuqi Zhai, Qi Liu, Zhijun Liu
Summary: A novel predator-prey system combining prey refuge with fuzzy parameters is formulated in this manuscript. Sufficient conditions for the existence and stability of biological equilibria are derived, and the existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy under imprecise inflation and discount in fuzzy environment is investigated using Pontryagin's maximal principle, with meticulous numerical simulations performed to validate the theoretical analysis.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Article
Mathematics, Applied
Guoqiang Ren, Bin Liu
Summary: In this work, we considered a two-species predator-prey chemotaxis model and proved that it admits a global boundeness of classical solutions in any physically meaningful dimension. By carefully balancing the triple cross diffusion, we showed that the global classical solutions exponentially converge to a constant stable steady state.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2022)
Article
Engineering, Environmental
Peipei Wu, Stephanie Dutkiewicz, Erwan Monier, Yanxu Zhang
Summary: This study demonstrates that as trophic levels increase, biomagnification of MMHg becomes more significant. Trophic magnification factors show opposite spatial patterns between lower and higher trophic levels. With a warmer future climate, global average TMF is projected to increase, leading to higher MMHg exposure for top predators, such as humans, if no mitigation measures for Hg emission are implemented.
ENVIRONMENTAL SCIENCE & TECHNOLOGY
(2021)
Article
Ecology
Randall Brian Langerhans, Taylor R. Goins, Kenzi M. Stemp, Rudiger Riesch, Marcio S. Araujo, Craig A. Layman
Summary: Research suggests that many animals, even non-specialized ones, consume hard-shelled prey. This phenomenon may be partially explained by optimal foraging and compensatory growth mechanisms.
FRONTIERS IN ECOLOGY AND EVOLUTION
(2021)
Article
Ecology
Sami O. Lehtinen, Tommi A. Peraelae, Silva K. Uusi-Heikkilae, Anna K. Kuparinen
Summary: Many generalist predators have flexible and rapid behavior to switch between prey species based on changing prey abundances. However, the mechanistic understanding of the relationship between individual behavior and feeding rates is poorly understood. In this study, three mechanistic models were developed to derive the relationship between observed individual behavior and feeding rates, providing novel functional responses for predators with prey switching and exclusive feeding. These functional responses conform to the Holling type III response and can be used to predict predators' diet compositions.
FUNCTIONAL ECOLOGY
(2023)
Article
Mathematics, Applied
Sainan Wu
Summary: This paper considers a reaction-diffusion predator-prey model with indirect prey-taxis and predator-taxis. The model obtains globally bounded solutions under different parameters and conditions.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2022)
Article
Mathematics
Khudhayr A. Rashedi, Mohd Tahir Ismail, Nawaf N. Hamadneh, S. Al Wadi, Jamil J. Jaber, Muhammad Tahir
Summary: The use of artificial intelligence technology in business process optimization has a significant impact on a country's economic development. This paper proposed a mathematical model using artificial neural networks to detect outliers in the daily returns of the Saudi stock market, demonstrating the potential of AI optimization techniques in solving business process problems.
JOURNAL OF MATHEMATICS
(2021)
Article
Computer Science, Information Systems
Zekeriya Uykan
Summary: It has been reported that Spectral Clustering achieves state-of-the-art clustering performance for real-life benchmark datasets. Cosine distance is found to give the best performance among other distance types for constructing the dissimilarity matrix in Laplacian matrix. This paper introduces an Optimum Sphere Location Problem for Spectral Clustering with cosine distance, and it presents novel findings regarding the eye location, eigenvalues, and clustering performance.
Article
Mathematics, Applied
Guoshuang Wang, Jinfeng Wang
Summary: This paper deals with predator-prey models involving resource consumption and prey movement, subject to homogeneous Neumann boundary conditions. It demonstrates that global in time solutions are guaranteed for small prey movement coefficients in any spatial dimension. Furthermore, the homogeneous steady state remains globally stable with weak attractive prey movement sensitivity, while pattern formation can occur with repulsive prey movement sensitivity.
APPLIED MATHEMATICS LETTERS
(2021)
