Switching Effect of Predation on Prey Species Living in Different Habitats with Arbitrary Predatory Rates II
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概要
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The present paper extends previous work by Bhatt et al. [J. Phys. Soc. Jpn. 69 (2000) 3133] referred as Part I. It deals with the switching effect of predation on prey species living in two habitats when the predatory rates are arbitrary. The predator feeds preferentially on the more abundant habitats population. Two habitats have been separated by a barrier so that the prey species is able to disperse among them at some cost of the population. The stability analysis has been carried out for non-zero equilibrium values. Using the conversion rate of the prey to predator as a bifurcation parameter, necessary and sufficient conditions for a Hopf bifurcation to occur have been derived. Two particular cases of predatory rates, namely, (i) multiplicative case and (ii) exponential case have been derived.
- 社団法人日本物理学会の論文
- 2002-09-15
著者
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Owen David
Department Of Mathematics And Computer Science The University Of The West Indies
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BHATT Balswaroop
Department of Mathematics and Computer Science, The University of the West Indies
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JAJU Rameshwar
Department of Computer Science, Faculty of Science, University of Swaziland
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Bhatt Balswaroop
Department Of Mathematics And Computer Science The University Of The West Indies
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Jaju Rameshwar
Department Of Computer Science Faculty Of Science University Of Swaziland
関連論文
- Switching Effect of Predation on Prey Species Living in Different Habitats with Arbitrary Predatory Rates II
- Switching Effect of Predation on a Small Size Prey Species Living in Two Different Habitats : Cross-Disciplinary Physics