Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps

2018 ◽  
Vol 505 ◽  
pp. 94-104 ◽  
Author(s):  
Qun Liu ◽  
Daqing Jiang ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Asymptotic Behavior ◽  
Markovian Switching ◽  
Mutualism Model ◽  
Lévy Jumps

Stochastic mutualism model with Lévy jumps

2017 ◽  
Vol 43 ◽  
pp. 78-90 ◽  
Author(s):  
Qun Liu ◽  
Daqing Jiang ◽  
Ningzhong Shi ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Mutualism Model ◽  
Lévy Jumps

scholarly journals Analysis of a non-autonomous mutualism model driven by Levy jumps

2016 ◽  
Vol 21 (4) ◽  
pp. 1189-1202 ◽  
Author(s):  
Bingjun Wang ◽  
Hongjun Gao ◽  
Mei Li
Keyword(s):  
Model Driven ◽  
Mutualism Model ◽  
Lévy Jumps

Analysis of a mutualism model with time-related coefficients in a stochastic environment

2020 ◽  
pp. 2050073
Author(s):  
Jun Wei Luo ◽  
Mei Li ◽  
Kai Liu ◽  
Rui Guan
Keyword(s):  
Asymptotic Behavior ◽  
Numerical Simulations ◽  
Positive Solution ◽  
Existence And Uniqueness ◽  
Uniform Continuity ◽  
Stochastic Environment ◽  
Stochastic Perturbations ◽  
Stochastic Permanence ◽  
Stochastic Boundedness ◽  
Mutualism Model

In this paper, a mutualism model with stochastic perturbations is considered and some of its coefficients are related to time. Under some assumptions, we make efforts to prove the existence and uniqueness of a positive solution, and the asymptotic behavior to the problem is discussed. Furthermore, we also prove the properties of stochastic boundedness, uniform continuity and stochastic permanence of this system. At last, some numerical simulations are introduced to illustrate our main results.

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