Results 51 to 60 of about 442 (145)
Open Mathematics, 2019 Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ...
Han Sufang +4 more
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Advances in Nonlinear Analysis, 2023 In this article, we develop a continuous periodic switching model depicting Wolbachia infection frequency dynamics in mosquito populations by releasing Wolbachia-infected mosquitoes, which is different from the discrete modeling efforts in the literature.
Shi Yantao, Zheng Bo
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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
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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
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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
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
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
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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
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