Results 61 to 70 of about 1,832 (165)
Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects
East Asian Journal on Applied Mathematics, 2019 A predator-prey system with Holling type II functional response and a time lag is described by a delayed differential-algebra system and the local asymptotic stability and Hopf bifurcation of such system is studied.
Weihua Jiang
semanticscholar +1 more source
Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation
Complexity, Volume 2025, Issue 1, 2025.The present study investigated the dynamics of the nonlinear stochastic pine wilt epidemic model. An extension of the stochastic to deterministic model is presented. Equilibria, positivity, boundedness, extinction, and disease persistence were studied rigorously.
Ali Raza +6 more
wiley +1 more source
A semilinear transport equation with delays
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2011-2026, 2003., 2003 An analysis is provided for a model of the blood production system based on a cell population structured by a continuous variable corresponding to the maturity of individual cells. Cell maturity is viewed as an indicator of increasing morphological development, ranging from the most primitive stem cells to the most mature differentiated cells.
Janet Dyson +2 more
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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
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
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A note on the existence of non-monotone non-oscillating wavefronts
, 2013 In this note, we present a monostable delayed reaction-diffusion equation with the unimodal birth function which admits only non-monotone wavefronts.
Gomez, Carlos +2 more
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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
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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
doaj +1 more source