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Existence of Equilibrium Solutions to a Size-Structured Predator-Prey System with Functional Response 被引量:1

Existence of Equilibrium Solutions to a Size-Structured Predator-Prey System with Functional Response
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摘要 In this paper, we consider a nonlinear size-structured population model with functional response, which describes the dynamics of a predator-prey system living in a common habitat. We present a kind of functional response for the prey being a plant or algae, and explain its biological meanings. When the vital rates depend both on the individual's size and on the total population or only depend on the former, we obtain the existence of equilibrium solutions. In this paper, we consider a nonlinear size-structured population model with functional response, which describes the dynamics of a predator-prey system living in a common habitat. We present a kind of functional response for the prey being a plant or algae, and explain its biological meanings. When the vital rates depend both on the individual's size and on the total population or only depend on the former, we obtain the existence of equilibrium solutions.
出处 《Wuhan University Journal of Natural Sciences》 CAS 2009年第5期383-387,共5页 武汉大学学报(自然科学英文版)
基金 Supported by the National Natural Science Foundation of China (10471108)
关键词 equilibrium solutions functional response predator- prey system size-structured population model equilibrium solutions functional response predator- prey system size-structured population model
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