Open AccessThe Dynamics of A Square Root Prey-Predator Model with Fear
Author(s) -
Nabaa Hassain Fakhry,
Raid Kamel Naji
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.1.15
Subject(s) - predation , uniqueness , functional response , mathematics , equilibrium point , predator , dynamics (music) , square root , stability (learning theory) , bifurcation , persistence (discontinuity) , control theory (sociology) , ecology , mathematical analysis , biology , computer science , geometry , physics , differential equation , nonlinear system , geology , artificial intelligence , geotechnical engineering , control (management) , quantum mechanics , machine learning , acoustics
An ecological model consisting of prey-predator system involving the prey’s fear is proposed and studied. It is assumed that the predator species consumed the prey according to prey square root type of functional response. The existence, uniqueness and boundedness of the solution are examined. All the possible equilibrium points are determined. The stability analysis of these points is investigated along with the persistence of the system. The local bifurcation analysis is carried out. Finally, this paper is ended with a numerical simulation to understand the global dynamics of the system.