Relaxation oscillations in predator–prey model with distributed delay

2016 ◽  
Vol 37 (1) ◽  
pp. 475-484 ◽  
Author(s):  
Na Wang ◽  
Maoan Han
Keyword(s):  
Distributed Delay ◽  
Relaxation Oscillations ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Nonclassical Relaxation Oscillations in a Mathematical Predator–Prey Model

2020 ◽  
Vol 56 (8) ◽  
pp. 976-992
Author(s):  
S. D. Glyzin ◽  
A. Yu. Kolesov ◽  
N. Kh. Rozov
Keyword(s):  
Relaxation Oscillations ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Analysis on stochastic predator-prey model with distributed delay

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
C. Gokila ◽  
M. Sambath
Keyword(s):  
Lyapunov Function ◽  
Numerical Simulations ◽  
Stationary Distribution ◽  
Sufficient Conditions ◽  
Distributed Delay ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Disease In Prey ◽  
Stochastic Lyapunov Function

Abstract In the present work, we consider a stochastic predator-prey model with disease in prey and distributed delay. Firstly, we establish sufficient conditions for the extinction of the disease and also permanence of healthy prey and predator. Besides, we obtain the condition for the existence of an ergodic stationary distribution through the stochastic Lyapunov function. Finally, we provide some numerical simulations to validate our theoretical findings.

scholarly journals On a predator prey model with nonlinear harvesting and distributed delay

2018 ◽  
Vol 17 (6) ◽  
pp. 2703-2727 ◽  
Author(s):  
Tomás Caraballo ◽  
◽  
Renato Colucci ◽  
Luca Guerrini ◽  
◽  
...  
Keyword(s):  
Distributed Delay ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Nonlinear Harvesting
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