The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response
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چکیده
منابع مشابه
The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response
In this paper, the effects of harvesting and time delay on two different types of predator-prey systems with delayed predator specific growth and Holling type II functional response are studied by applying the normal form theory of retarded functional differential equations developed by Faria and Magalhães [J. Differential Equations, 122 (1995), pp. 181–200, J. Differential Equations, 122 (1995...
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A delayed diffusive predator-prey system with Holling type-II predator functional response subject to Neumann boundary conditions is considered here. The stability/instability of nonnegative equilibria and associated Hopf bifurcation are investigated by analyzing the characteristic equations. By the theory of normal form and center manifold, an explicit formula for determining the stability and...
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This paper aims to study the effect of Harvesting on predator species with time-delay on a Holling type-IV prey-predator model. Harvesting has a strong impact on the dynamic evolution of a population. Two delays are considered in the model of this paper to describe the time that juveniles of prey and predator take to mature. Dynamics of the system is studied in terms of local and Hopf bifurcati...
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In this paper, a periodic predator-prey system with harvesting terms and Holling II type functional response is considered. Sufficient criteria for the existence of at least sixteen periodic solutions are established by using the well known continuation theorem due to Mawhin. An example is given to illustrate the main result. Keywords—Periodic solution; Predator-prey system; Harvesting terms; C...
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By means of Mawhin’s continuation theorem of coincidence degree theory, some sufficient conditions are obtained for the existence of at least two positive almost periodic solutions of harvesting predator-prey model with Holling III type functional response and time delays. An example and numerical simulations are employed to illustrate the main result of this paper. Key–Words: Almost periodicit...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2009
ISSN: 0036-1399,1095-712X
DOI: 10.1137/080728512