Long-time dynamics of a stochastic density dependent predator-prey model with Holling II functional response and jumps

2022/08/10 by Olga Borysenko, Oleksandr Borysenko, Borysenko, Olga +1
Medicine · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical Biology Tumor Growth #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2208.05259

Abstract

The existence and uniqueness of a global positive solution is proven for the system of stochastic differential equations describing a nonautonomous stochastic density dependent predator-prey model with Holling-type II functional response disturbed by white noise, centered and non-centered Poisson noises. Sufficient conditions are obtained for stochastic ultimate boundedness, stochastic permanence, non-persistence in the mean, weak persistence in the mean and extinction of a population densities in the considered stochastic predator-prey model.

Related

• Long-time behavior of a non-autonomous stochastic predator-prey model with jumps
• The Stochastic Gause predator-prey model: noise-induced extinctions and invariance
• Dynamics of an imprecise stochastic Holling II one-predator two-prey system with jumps
• From the distributions of times of interactions to preys and predators dynamical systems
• Dynamics of a prey-predator system with modified Leslie-Gower and Holling type II schemes incorporating a prey refuge