Article
Mathematics
Saed Mallak, Doa'a Farekh, Basem Attili
Summary: This paper studies a fuzzy predator-prey model with a functional response arctan(ax) and approximates fuzzy derivatives using the generalized Hukuhara derivative. The numerical simulation is carried out using the fuzzy Runge-Kutta method, and the results regarding the evolution and population dynamics over time are presented numerically and graphically with conclusions.
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
Ecology
Henrik Andren, Olof Liberg
Summary: The study found that the numerical response of Eurasian lynx is influenced by both roe deer density and lynx density, indicating the importance of resources and intraspecific competition in understanding lynx population dynamics. Through modeling, cyclic dynamics or dampened cycles were observed in the lynx-roe deer population system.
ECOLOGICAL MONOGRAPHS
(2023)
Article
Mathematics
Manel Amdouni, Jehad Alzabut, Mohammad Esmael Samei, Weerawat Sudsutad, Chatthai Thaiprayoon
Summary: In this article, we study the existence and uniqueness of multiple positive periodic solutions for a Gilpin-Ayala predator-prey model by applying asymptotically periodic functions. The result of this paper is completely new. We showed that the classical nonlinear fractional model is bounded by using Comparison Theorem and some technical analysis. The Banach contraction mapping principle was used to prove that the model has a unique positive asymptotical periodic solution. We provide an example and numerical simulation to inspect the correctness and availability of our essential outcomes.
Article
Psychology, Biological
Tomonori Kodama, Akira Mori
Summary: This study examined the effects of temperature on predator-prey interactions between the Mamushi snake and its prey in natural conditions. The results showed that temperature had limited effects on the snake's hunting behavior and outcome, while factors such as distance and prey dodging movements had a greater influence.
Article
Engineering, Mechanical
Zhihui Wang, Yuanshi Wang
Summary: This paper examines the impact of species' diffusion and environmental heterogeneity on population dynamics through a mathematical model, demonstrating how different diffusion rates can affect species interaction outcomes and how the population abundance of a diffusing prey can exceed that of a non-diffusing prey.
NONLINEAR DYNAMICS
(2021)
Article
Ecology
Michael Bar-Ziv, Aran Sofer, Adel Gorovoy, Orr Spiegel
Summary: Habitat development can alter wildlife behavior, leading to preferences for individuals or behaviors that cope better with perceived threats. Bolder behaviors in human-dominated habitats may represent habituation specifically to humans or a general reduction in predator-avoidance response. However, the carry-over effects across different types of threats and phases of the escape sequence have not been well studied.
JOURNAL OF ANIMAL ECOLOGY
(2023)
Article
Computer Science, Interdisciplinary Applications
Shangzhi Li, Shangjiang Guo
Summary: A new method is introduced to analyze the stochastic permanence and extinction of a stochastic predator-prey model with a general functional response. The study investigates the existence of a stationary distribution and the impact of white noises on the predator and prey populations. Numerical simulations show that appropriate intensities of white noises can lead to population fluctuations, while too large intensities may cause extinction.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Zoology
Mark S. Teshera, Rulon W. Clark, Amy E. Wagler, Eli Greenbaum
Summary: The text describes how most viperids are ambush predators and their hunting strategies and scavenging habits. Through captive trials, it was found that rattlesnakes do not prefer envenomated prey or venom cues of a specific species, challenging previous assumptions about their foraging behavior.
Article
Ecology
N. Stollenwerk, M. Aguiar, B. W. Kooi
Summary: The Rosenzweig-MacArthur predator-prey model serves as the foundation for modeling food chains, food webs, and ecosystems, including various hidden assumptions in its derivation process. By modeling a resource-predator-prey system in a closed spatially homogeneous environment, it reveals the logistic prey population growth and allows for conservation of mass. Additionally, the model incorporates a Holling type II functional response to describe trophic interactions, with an extended deterministic model serving as a starting point for investigating stochastic effects and quasi-equilibrium distribution.
ECOLOGICAL COMPLEXITY
(2022)
Article
Mathematics, Applied
Francesca Acotto, Ezio Venturino
Summary: In this paper, the possibility of reducing predator pressure by considering predators hunting on prey gathered in groups is studied. The Holling type II (HTII) response function is modified to account for the prey's ability to induce the predator to renounce through individualistic attacks. The results show that prey survival is enhanced when prey are able to respond individually, compared to herding cases without predators or with predators feeding satiation.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
J. J. Benito, A. Garcia, L. Gavete, M. Negreanu, F. Urena, A. M. Vargas
Summary: The study focuses on two mathematical models of nonlinear systems of partial differential equations in a smooth bounded domain, demonstrating the convergence of discrete solutions to analytical ones using global factors and the Generalized Finite Difference Method (GFDM). The meshless method is applied to simulate solution behavior over regular and irregular domains, with emphasis on multiple numerical examples.
APPLIED NUMERICAL MATHEMATICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Fatao Wang, Ruizhi Yang
Summary: In this paper, we investigate a cross-diffusion predator-prey system with Holling type functional response. We analyze the local stability, Turing instability, spatial pattern formation, Hopf and Turing-Hopf bifurcation of the equilibrium. Numerical simulation reveals that the system experiences cross-diffusion-driven instability and exhibits various patterns such as spots, stripe-spot mixtures, and labyrinthine patterns. The study also shows that the intrinsic growth rate coefficient and the environmental carrying capacity coefficient are crucial factors for the stability of the predator-prey system.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Ecology
Kate L. Mathers, Simone Guareschi, Charlie Patel, Paul J. Wood
Summary: Invasive species pose a significant threat to freshwater biodiversity by exposing pre-existing fauna to novel predation strategies. This study focused on the behavioral responses of different gastropod species to physical and chemical cues associated with the invasive crayfish, revealing variations in handling times and survival rates among species. The importance of previous predator experience and species identity in determining predation risk when exposed to novel predators was highlighted, emphasizing the complexity of predator-prey relationships in the face of invasive species.
FRESHWATER BIOLOGY
(2022)
Article
Mathematics, Applied
Hamdy I. Abdel-Gawad, Ali A. Aldailami, Khaled M. Saad, Jose F. Gomez-Aguilar
Summary: This paper extends the variational iteration method to find numerical solutions of q-nonlinear dynamical systems. It presents the proof of convergence theorem and error bound analysis, and showcases the excellent matching between exact and numerical solutions. The method is applied to predator-prey systems and obtains accurate results.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2022)