Jambura Journal of Biomathematics (JJBM)
Volume 1, Issue 2: December 2020

Discrete-time prey-predator model with θ-logistic growth for prey incorporating square root functional response

P.K. Santra (Abada Nsup School, Abada, Howrah-711313)

Article Info

Publish Date
03 Dec 2020

Abstract

This article presents the dynamics of a discrete-time prey-predator system with square root functional response incorporating θ-logistic growth. This type of functional response is used to study the dynamics of the prey--predator system where the prey population exhibits herd behavior, i.e., the interaction between prey and predator occurs along the boundary of the population. The existence and stability of fixed points and Neimark-Sacker Bifurcation (NSB) are analyzed. The phase portraits, bifurcation diagrams and Lyapunov exponents are presented and analyzed for different parameters of the model. Numerical simulations show that the discrete model exhibits rich dynamics as the effect of θ-logistic growth.

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Journal Info
Jambura Journal of Biomathematics (JJBM)
Website

Abbrev

JJBM

Publisher

Universitas Negeri Gorontalo

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Jambura Journal of Biomathematics (JJBM) aims to become the leading journal in Southeast Asia in presenting original research articles and review papers about a mathematical approach to explain biological phenomena. JJBM will accept high-quality article utilizing mathematical analysis to gain ...