[HTML][HTML] Dynamical analysis on two stochastic single-species models

Z Sun, J Lv, X Zou - Applied Mathematics Letters, 2020 - Elsevier
Two stochastic single-species models are considered in this paper. For the first model, we
discuss the existence and uniqueness of the solution, recurrence and the existence of …

Quasi-Stationary Distribution of a Prey–Predator Model Driven by Demographic Stochasticity

Y Zhu, T Feng - Qualitative Theory of Dynamical Systems, 2025 - Springer
In this paper, we develop a stochastic predator–prey model driven by demographic
stochasticity, where prey are subject to predation by both generalist and specialist predators …

Dynamics of a stochastic Gilpin–Ayala population model with Markovian switching and impulsive perturbations

Y Jiang, Z Liu, J Yang, Y Tan - Advances in Difference Equations, 2020 - Springer
In this paper, we consider the dynamics of a stochastic Gilpin–Ayala model with regime
switching and impulsive perturbations. The Gilpin–Ayala parameter is also allowed to …

[PDF][PDF] Impact of Polluted Environments on Stochastic Gilpin–Ayala Population Dynamics with Dispersal

B Harchaoui, M Esseroukh, B El Khatib, A Settati… - Appl. Math, 2024 - researchgate.net
This research comprehensively examines the impact of incorporating pollution into a
stochastic Gilpin-Ayala model with patches. The critical contribution of this study lies in …

Analysis of Stochastic Nicholson‐Type Delay System under Markovian Switching on Patches

X Yi, G Liu - Complexity, 2020 - Wiley Online Library
Based on the influence of random environmental perturbations and the patch structure, we
propose a stochastic Nicholson‐type delay system under Markovian switching on patches …

Dynamics Analysis of a Stochastic Delay Gilpin‐Ayala Model with Markovian Switching

Q Gao, Z Luo, G Liu - Discrete Dynamics in Nature and Society, 2019 - Wiley Online Library
This paper considers a stochastic delay Gilpin‐Ayala model with Markovian switching. Using
Lyapunov method, we show existence and uniqueness of global positive solution. Then, by …