Results 41 to 50 of about 256 (115)
Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
wiley +1 more source
Local exact controllability of the age‐dependent population dynamics with diffusion
Abstract and Applied Analysis, Volume 6, Issue 6, Page 357-368, 2001., 2001 We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in L k and the Banach fixed point theorem.
Bedr′eddine Ainseba, Sebastian Anita
wiley +1 more source
Dynamical behavior for a stochastic two-species competitive model
Open Mathematics, 2017 This paper deals with a stochastic two-species competitive model. Some very verifiable criteria on the global stability of the positive equilibrium of the deterministic system are established.
Xu Changjin, Liao Maoxin
doaj +1 more source
Fractional Age‐Structured Modeling of Measles: Application of Inverse Methods
Complexity, Volume 2025, Issue 1, 2025.This study introduces a novel fractional age‐structured Susceptibles‐Exposed‐Infective‐Hospitalized‐Recovered‐Adults (SEIHRA) model, designed to analyze measles transmission dynamics, particularly in younger populations. By incorporating age structure and an innovative inverse method, the model bridges mathematical rigor with empirical data. We examine
Yan Qiao +4 more
wiley +1 more source
Extinction in a generalized Lotka‐Volterra predator‐prey model
International Journal of Stochastic Analysis, Volume 13, Issue 3, Page 287-297, 2000., 2000 In this paper we discuss the asymptotic behavior of a predator‐prey model with distributed growth and mortality rates. We exhibit simple criteria on the parameters which guarantee that all subpopulations but one predator‐prey pair are driven to extinction as t → ∞. Finally, we present numerical simulations to illustrate the theoretical results.
Azmy S. Ackleh +2 more
wiley +1 more source
Advances in Nonlinear Analysis, 2019 This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity.
Wu Shi-Liang, Hsu Cheng-Hsiung
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Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya +4 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low‐density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions ...
Md. Kamrujjaman +6 more
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Coastal fisheries adaptations to increasing climate change exposure in Japan
People and Nature, Volume 6, Issue 6, Page 2339-2356, December 2024.Abstract Climate change‐driven ocean warming is altering the geographic ranges of species, leading to a poleward shift of tropical species into temperate regions (tropicalisation). This threatens the native marine community assemblages by changing the availability of traditional marine resources, thus impacting the livelihood and well‐being of coastal ...
Xochitl Édua Elías Ilosvay +3 more
wiley +1 more source