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The asymptotic stability behavior in a Lotka-Volterra type Predator-Prey system

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대한수학회 (The Korean Mathematical Society)|2006.08|대한수학회보 (Bulletin of the KMS)|제43권 제3호|pp. 575-587

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주제분류수학

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Abstract

In this paper, we provide a detailed and explicit proce-dure of obtaining some regions of attraction for the positive steadystate (assumed to exist) of a well known Lotka-Volterra type predat-or-prey system. Also we obtain the sucient conditions to ensurethat the positive equilibrium point of a well known Lotka-Volterratype predator-prey system with a single discrete delay is globallyasymptotically stable.

참고문헌 (6)

  1. "Global attractivity in time-delayed predator-prey sys-tem", B38(2), pp.149~162 (1996)
  2. "Stability and Oscillations in Delay Dierential Equations of Pop-ulation Dynamics" (1992)
  3. "Stability and Delays in a Predator-Prey System", (2), pp.355~370 (1996)
  4. "Delay Dierential Equations with Applications in Population Dynam-ics" (1993), Academic Press
  5. "Uniform persistence and global attractivity theorem for generalized prey-predator system with time delay", NonlinearAnal, pp.59~74 (1999)
  6. "Asymptotic Behavior in a Three-Component Food Chain Model", 32(6), pp.749~753 (1998)

관련 논문AI추천

Limit Cycles in a Cubic Predator-Prey Differential SystemAnsheng Cheng, Xuncheng Huang, Yuanming Wang대한수학회 · 대한수학회지2006 · 제43권 제4호STABILITY ANALYSIS FOR PREDATOR-PREY SYSTEMS심성아한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses백헌기경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Periodic Solutions of a Delayed Population Model with One Predator and Two PreysF. A. Davidson, M. A. J. Chaplain, Rui Xu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Global asymptotic stability of positive steady states of an n-dimensional ratio-dependent predator-prey system with diffusionJun Zhou대한수학회 · 대한수학회보2013 · 제50권 제6호Hopf Bifurcation Properties of Holling Type Predator-prey Systems심성아한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호

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