Dynamics of a stochastic Markovian switching predator–prey model with infinite memory and general Lévy jumps

2021 ◽  
Vol 181 ◽  
pp. 316-332
Author(s):  
Chun Lu
Keyword(s):  
Markovian Switching ◽  
Predator Prey ◽  
Infinite Memory ◽  
Predator Prey Model ◽  
Prey Model ◽  
Lévy Jumps

Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity

2021 ◽  
pp. 2150077
Author(s):  
Guangjie Li ◽  
Qigui Yang
Keyword(s):  
Positive Solution ◽  
Habitat Complexity ◽  
Sufficient Conditions ◽  
Ultimate Boundedness ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Global Positive Solution ◽  
Lévy Jumps ◽  
Lyapunov Technique

This paper investigates a stochastic Holling II predator-prey model with Lévy jumps and habit complexity. It is first proved that the established model admits a unique global positive solution by employing the Lyapunov technique, and the stochastic ultimate boundedness of this positive solution is also obtained. Sufficient conditions are established for the extinction and persistence of this solution. Moreover, some numerical simulations are carried out to support the obtained results.

Sign in / Sign up

Export Citation Format

Share Document