Results 61 to 70 of about 1,808 (165)
Impact of disease on a two-patch eco-epidemic model in presence of prey dispersal
Computational and Mathematical Biophysics, 2022 The present model is dealt with prey-predator interactions in two different patches where only prey species are allowed to disperse among the patches.
Saha Sangeeta, Samanta Guruprasad
doaj +1 more source
A two-strain ecoepidemic competition model
, 2014 In this paper we consider a competition system in which two diseases spread by contact. We characterize the system behavior, establishing that only some configurations are possible.
Cavoretto, Roberto +3 more
core +1 more source
Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
, 2014 By applying the comparison theorem, Lyapunov functional, and almost periodic functional hull theory of the impulsive differential equations, this paper gives some new sufficient conditions for the uniform persistence, global asymptotical stability, and ...
Lijun Xu, Wenquan Wu
semanticscholar +1 more source
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
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
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
Positive global solutions for a general model of size‐dependent population dynamics
Abstract and Applied Analysis, Volume 5, Issue 3, Page 191-206, 2000., 2000 We study size‐structured population models of general type which have the growth rate depending on the size and time. The local existence and uniqueness of the solution have been shown by Kato and Torikata (1997). Here, we discuss the positivity of the solution and global existence as well as L ∞ solutions.
Nobuyuki Kato
wiley +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
doaj +1 more source
Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution? [PDF]
, 2013 A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain ...
Tchuenche, Jean M.
core
Solvability of boundary value problems for fractional order elastic beam equations
Advances in Differential Equations, 2014 In this article, the existence results for solutions of a boundary value problem for nonlinear singular fractional order elastic beam equations are established. The analysis relies on the well-known Schauder’s fixed point theorem. MSC:92D25, 34A37, 34K15.
Shengping Chen, Yuji Liu
semanticscholar +1 more source