Open AccessOn The Dynamical Behavior of a Prey-Predator Model With The Effect of Periodic Forcing
Author(s) -
Raid Kamel Naji
Publication year - 2007
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.4.1.147-157
Subject(s) - forcing (mathematics) , hopf bifurcation , mathematics , chaotic , stability (learning theory) , bifurcation , parametric statistics , functional response , lyapunov function , control theory (sociology) , statistical physics , mathematical analysis , predation , predator , physics , nonlinear system , ecology , computer science , biology , statistics , control (management) , quantum mechanics , artificial intelligence , machine learning
The dynamical behavior of a two-dimensional continuous time dynamical system describing by a prey predator model is investigated. By means of constructing suitable Lyapunov functional, sufficient condition is derived for the global asymptotic stability of the positive equilibrium of the system. The Hopf bifurcation analysis is carried out. The numerical simulations are used to study the effect of periodic forcing in two different parameters. The results of simulations show that the model under the effects of periodic forcing in two different parameters, with or without phase difference, could exhibit chaotic dynamics for realistic and biologically feasible parametric values.