Bifurcation behaviour of a discrete differential algebraic prey – Predator system with Holling type II functional response and prey refuge

2020 ◽  
Author(s):  
A. George Maria Selvam ◽  
R. Janagaraj ◽  
Alaa Hlafta
Keyword(s):  
Functional Response ◽  
Type Ii ◽  
Prey Refuge ◽  
Bifurcation Behaviour ◽  
Predator System ◽  
Type Ii Functional Response

A stochastic diseased predator system with modified LG-Holling type II functional response

2021 ◽  
Vol 45 ◽  
pp. 100881
Author(s):  
Yong Zhang ◽  
Baodan Tian ◽  
Xingzhi Chen ◽  
Jiamei Li
Keyword(s):  
Functional Response ◽  
Type Ii ◽  
Predator System ◽  
Type Ii Functional Response

scholarly journals Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Yumin Wu ◽  
Fengde Chen ◽  
Wanlin Chen ◽  
Yuhua Lin
Keyword(s):  
Global Stability ◽  
Numerical Simulations ◽  
Functional Response ◽  
Sufficient Conditions ◽  
Type Ii ◽  
Prey Refuge ◽  
Predator Species ◽  
Predator Prey ◽  
Prey System ◽  
Type Ii Functional Response

A nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper. A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively. Our results show that if refuge is large enough then predator species will be driven to extinction due to the lack of enough food. Two examples together with their numerical simulations show the feasibility of the main results.

Harvesting of a Prey-Predator Fishery Based on Holling Type II Functional Response System

2012 ◽  
Vol 524-527 ◽  
pp. 3384-3387
Author(s):  
Ting Wu
Keyword(s):  
Functional Response ◽  
Tax Policy ◽  
Type Ii ◽  
Response System ◽  
Optimal Tax Policy ◽  
Optimal Tax ◽  
Ratio Dependent ◽  
Maximal Principle ◽  
Predator System ◽  
Type Ii Functional Response

This paper explores a reasonable ratio-dependent prey-predator system with Holling type II. By applying the Pontryagin's maximal principle, the optimal tax policy is investigated. A simulation is carried out in the end.

scholarly journals Dynamical Analysis Predator-Prey Population with Holling Type II Functional Response

2021 ◽  
Author(s):  
FE. Universitas Andi Djemma
Keyword(s):  
Functional Response ◽  
Equilibrium Points ◽  
Dynamical Analysis ◽  
Type Ii ◽  
Asymptotically Stable ◽  
Prey Refuge ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Type Ii Functional Response

In this article, we investigate the dynamical analysis of predator prey model. Interactionamong preys and predators use Holling type II functional response, and assuming prey refuge aswell as harvesting in both populations. This study aims to study the predator prey model and todetermine the effect of overharvesting which consequently will affect the ecosystem. In the modelfound three equilibrium points, i.e., (0,0) is the extinction of predator and prey equilibrium,?(??, 0) is the equilibrium with predatory populations extinct and the last equilibrium points?(??, ??) is the coexist equilibrium. All equilibrium points are asymptotically stable (locally) undercertain conditions. These analytical findings were confirmed by several numerical simulations.

Predator-dependent transmissible disease spreading in prey under Holling type-II functional response

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Dipankar Ghosh ◽  
Prasun K. Santra ◽  
Abdelalim A. Elsadany ◽  
Ghanshaym S. Mahapatra
Keyword(s):  
Functional Response ◽  
Prey Species ◽  
Linearization Method ◽  
Logistic Growth ◽  
Type Ii ◽  
Disease Spreading ◽  
Predator Interactions ◽  
The Stability ◽  
Infected Prey ◽  
Type Ii Functional Response

Abstract This paper focusses on developing two species, where only prey species suffers by a contagious disease. We consider the logistic growth rate of the prey population. The interaction between susceptible prey and infected prey with predator is presumed to be ruled by Holling type II and I functional response, respectively. A healthy prey is infected when it comes in direct contact with infected prey, and we also assume that predator-dependent disease spreads within the system. This research reveals that the transmission of this predator-dependent disease can have critical repercussions for the shaping of prey–predator interactions. The solution of the model is examined in relation to survival, uniqueness and boundedness. The positivity, feasibility and the stability conditions of the fixed points of the system are analysed by applying the linearization method and the Jacobian matrix method.

Sign in / Sign up

Export Citation Format

Share Document