Results 51 to 60 of about 331 (165)
Periodic solutions of a delayed predator‐prey model with stage structure for predator
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 255-270, 2004., 2004 A periodic time‐dependent Lotka‐Volterra‐type predator‐prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.
Rui Xu +2 more
wiley +1 more source
Implication of age-structure on the dynamics of Lotka Volterra equations
, 2019 2010 MSC : (35B35) 35B40 65M08 (65M25) 92D40 92D50 (92D25)International audienceIn this article, we study the behavior of a nonlinear age-structured predator-prey model that is a generalization of Lotka-Volterra equations.
Perasso, Antoine +3 more
core +1 more source
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
doaj +1 more source
Complex Dynamics of a Predator–Prey System With Fear Effect in Prey
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study investigates the dynamical consequences of predator‐induced fear in a predator–prey system by integrating nonlinear fear effects, intraspecific competition, and Holling type II predation. We analyze both continuous‐ and discrete‐time formulations to capture a wide spectrum of ecological dynamics.
Anal Chatterjee +4 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
doaj +1 more source
Infectious Disease Modelling, 2023 In this paper, a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity in a spatially heterogeneous environment is proposed. The well-posedness of the solution is firstly established. Then the basic reproduction number
Jianpeng Wang +2 more
doaj +1 more source
The frequency-dependent Wright-Fisher model: diffusive and non-diffusive approximations [PDF]
, 2013 . We study a class of processes that are akin to the Wright-Fisher model, with transition prob-abilities weighted in terms of the frequency-dependent fitness of the population types. By considering an approximate weak formulation of the discrete problem,
Fabio A. C. C. Chalub +3 more
core +1 more source
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
doaj +1 more source
Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate
Results in Physics, 2021 In this article, we study the qualitative analysis of the Hepatitis B epidemic model with convex incidence rate. First, we formulate the model without control and study local and global stability.
Amir Khan +5 more
doaj +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