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Periodic solutions for a predator-prey system with dispersal and semi-ratio-dependent functional response
functional response periodic solution dispersal coincidence
2010/9/10
By using a continuation theorem of Mawhin’s coincidence degree , studied a periodic predator-prey system with dispersal and semi-ratiofunctional response, sufficient conditions are obtained for the ex...
Existence of Limit Cycles in a Predator-Prey System With a Functional Response of the Form Arctan(ax)
Predator prey system limit cycle unctional response
2008/11/25
We consider a predator prey system with the functional response of the form
µ(x) = arctan(ax); a > 0. The main concern in this paper is the existence of
limit cycles for such system. A necessa...
On the PredatorPrey System with Holling-$(n+1)$ Functional Response
Predator--prey system Limit cycle Uniqueness Dulac function
2007/12/11
The qualitative properties of a predator{prey system with Holling-(n + 1) functional response and a fairly general growth rate are completely investigated. The necessary and sufficient condition to gu...
Analyses of Bifurcations and Stability in a Predator-prey System
Predator-prey system Limit cycle Bogdanov-Takens bifurcation
2007/12/11
In this paper the dynamical behaviors of apredator-prey system with Holling Type-IV functional response are investigated in detail by using the analyses of qualitative method, bifurcation theory,...
Optimal Harvesting and Stability for a Predator-prey System with Stage Structure
optimal harvesting stage structure predator-prey system
2007/12/10
The dynamics of a predator-prey system, where prey population has two stages, an immature stage and a mature stage with harvesting, the growth of predator population is of Lotka-Volterra nature, are m...