Open AccessStability and bifurcations of a discrete-time prey-predator system with constant prey refuge
Author(s) -
A. George Maria Selvam,
R. Janagaraj,
S. Britto Jacob,
D. Vignesh
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2070/1/012068
Subject(s) - predation , jacobian matrix and determinant , constant (computer programming) , stability (learning theory) , population , mathematics , bifurcation , control theory (sociology) , predator , ecology , computer science , biology , physics , artificial intelligence , nonlinear system , demography , control (management) , quantum mechanics , machine learning , sociology , programming language
In ecology, by refuge an organism attains protection from predation by hiding in an area where it is unreachable or cannot simply be found. In population dynamics, once refuges are available, both prey-predator populations are expressively greater and meaningfully extra species can be sustained in the region. This examine the stability of a discrete predator prey model incorporating with constant prey refuge. Existence results and the stability conditions of the system are analyzed by obtaining fixed points and Jacobian matrix. The chaotic behavior of the system is discussed with bifurcation diagrams. Numerical experiments are simulated for the better understanding of the qualitative behavior of the considered model. Mathematics Subject Classification. [2010] : 37C25, 39A28, 39A30, 92D25.