Autore: Rehab Shalan
Formato: Copertina flessibile
Pagine: 104
Data Pubblicazione: 2016-12-28
Edizione: 1
Lingua: English
Descrizione:
The dynamical behavior of preypredator models with nonmonotonic functional response. Two types of preypredator models are proposed and studied. The first model consisting of Holling typeIV prey predator model involving intraspecific competition in predator population. However, the second model consisting of Holling typeIV preypredator model involving intraspecific competition in predator population with stage structure in predator. Both the models are represented mathematically by nonlinear differential equations. The existence, uniqueness and boundedness of the solution of these two models are investigated. The local and global stability conditions of all possible equilibrium points are established. The occurrence of local bifurcation (such as saddlenode, transcritical and pitchfork) and Hopf bifurcation near each of the equilibrium points are discussed. Finally, numerical simulation is used to study the global dynamics of both the models.