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Permanence and periodic solution for a predator-prey model with mixed-type functional response
Predator-prey model mixed-type functional response
2010/9/14
In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is p...
A global mathematical investigation of a predator-prey model
predator-prey plane differential system
2010/4/8
We construct a global bifurcation diagram of the plane differential system $$ {l} \dot x = x(1-x)-x y/(a+x^2), \dot y = y(\delta-\beta y/x), x(t)>0, y(t)>0, a>0, \delta>0, \beta>0, $$ which describes ...
A stage-structure predator-prey model with functional response
immature mature functional response Hamiltonian
2010/9/10
In this paper, a class of two species predator-prey model with functional response and harvesting, we consider a stage-structured population model with two life stages, immature and mature; and assume...
Stability of limit cycle in a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
Delay differential equations stability/unstability
2010/9/14
In this paper we study the stability of the periodic solutions of a model set forth by M. A. Aziz Alaoui et al. [1, 11] with time delay, which describes the competition between the predator and prey. ...
The Dynamics of a Predator-prey Model with Ivlev's Functional Response Concerning Integrated Pest Management
IPM strategy Ivlev's functional response Impulsive effect Extinction Permanence
2007/12/11
A mathematical model of a predator-prey model withIvlev's functional response concerning integrated pest management(IPM) is proposed and analyzed. We show that there exists a stablepest-eradication pe...
Periodic Solutions of a Delayed Predator-Prey Model with Stage Structure for Prey
Stage structure predator-prey model time delay periodic solution
2007/12/11
A periodic predator-prey model with stage structure forprey and time delays due to negative feedback and gestation ofpredator is proposed. By using Gaines and Mawhin's continuationtheorem of coinciden...