منابع مشابه
the predator-prey discrete system codimention- 2 bifurcations
A discrete predator-prey system is presented. We study the existence and stability of the fixed point system. The conditions of existence of Flip and Neimark-sacker bifurcation is the system are derived. By using numerical continuation methods and MatContM toolbox. We compute bifurcation curves of fixed points and cycles with periods up to 32 under variation of one and to parameters, and comput...
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In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...
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In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...
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Scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. Thus, the harvested rate is used as the control parameters. Moreover, the study of harvested population dynamics is more realistic. In the present paper, some predator-prey models in which two ecologically inte...
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We study the ecological and mathematical significance of a nonlinear discrete predator–prey model that includes several types of self-limitation on the prey. The model is derived for the dynamics of two interacting populations where predators feed only on prey of a certain age. We show how the introduction of different limitation factors can account for several important phenomena that affect t...
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ژورنال
عنوان ژورنال: Journal of Southwest Jiaotong University
سال: 2020
ISSN: 0258-2724
DOI: 10.35741/issn.0258-2724.55.1.5