Switching Effect of Predation on a Small Size Prey Species Living in Two Different Habitats : Cross-Disciplinary Physics

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概要

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• A Mathematical model with one prey species living in two different habitats and a predator where the predatory rate diminishes at low population density of prey is investigated. Two habitats are separated by a barrier and prey species is able to disperse among two different habitats at some cost of the population. The stability analysis is carried out for non-zero equilibrium values. Using rate of conversion of the prey to predator as bifurcation parameter, the necessary and sufficient condition for a Hopf bifurcation to occur are derived. It is shown numerically that predation rate does not always have stabilizing effect for the prey-predator system.

• 社団法人日本物理学会の論文
• 2000-09-15

著者

• Bhatt B

  Univ. West Indies St. Augustine Tto

• BHATT Balswaroop

  Department of Mathematics and Computer Science, The University of the West Indies

• JAJU Rameshwar

  Department of Computer Science, Faculty of Science, University of Swaziland

• KHAN Qamar

  Department of Mathematics and Statistics, College of Science, Sultan Qaboos University

• Bhatt Balswaroop

  Department Of Mathematics And Computer Science The University Of The West Indies

• Khan Qamar

  Department Of Mathematics And Statistics College Of Science Sultan Qaboos University

• 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
• Comparative Study of Two Prey-Predator Switching Models

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