scholarly journals Coexistence of a diffusive predator–prey model with Holling type-II functional response and density dependent mortality

2012 ◽  
Vol 385 (2) ◽  
pp. 913-927 ◽  
Author(s):  
Jun Zhou ◽  
Chunlai Mu
Keyword(s):  
Functional Response ◽  
Type Ii ◽  
Predator Prey ◽  
Density Dependent ◽  
Predator Prey Model ◽  
Density Dependent Mortality ◽  
Prey Model ◽  
Dependent Mortality ◽  
Type Ii Functional Response

scholarly journals Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
C. Gokila ◽  
M. Sambath ◽  
K. Balachandran ◽  
Yong-Ki Ma
Keyword(s):  
Functional Response ◽  
Lyapunov Functions ◽  
Stochastic Systems ◽  
Uniform Continuity ◽  
Type Ii ◽  
Equilibrium Solutions ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Type Ii Functional Response

A stochastic predator-prey model with disease in the prey and Holling type II functional response is proposed and its dynamics is analyzed. We discuss the boundedness of the dynamical system and find all feasible equilibrium solutions. For the stochastic systems, we obtain the conditions for the existence of the global unique solution, boundedness, and uniform continuity. We derive the conditions for extinction and permanence of species. Moreover, we construct appropriate Lyapunov functions and discuss the asymptotic stability of equilibria. To illustrate our theoretical findings, we have performed numerical simulations and presented the results.

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