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Stability and Optimal Harvesting in Lotka-Volterra Competition Model for Two-species with Stage Structure

J. F. M. Al-Omari
경북대학교 자연과학대학 수학과|2007.03|Kyungpook Mathematical Journal|제47권 제1호|pp. 31-56

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초록

Abstract

In this paper, we consider a delay dierential equation model of two compet-ing species with harvesting of the mature and immature members of each species. Thetime delay in the model represents the time from birth to maturity of that species, whichappears in the adults recruitment terms. We study the dynamics of our model analyticallyand we present results on positivity and boundedness of the solution, conditions for theexistence and globally asymptotically stable of equilibria, a threshold of harvesting, andthe optimal harvesting of the mature populations of each species.

참고문헌 (10)

  1. "A time-delay model of single species growth with stage structure", pp.139~153 (1990)
  2. "A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay", 16, pp.37~51 (2005)
  3. "Stability and travelling fronts in Lotka-Volterra competition models with stage structure", 63(6), pp.2063~2086 (2003)
  4. "Modelling and analysis of a single-species system with stage structure and hrvesting", 36, pp.67~82 (2002)
  5. "Optimal harvesting policy for single population with stage structure", 48, pp.943~950 (2004)
  6. "The stage-structured predator-prey system with delay and harvesting", 81, pp.1127~1142 (2002)
  7. "Monotone travelling fronts in an age-structured reaction-diffusion model of a single species", 45, pp.294~312 (2002)
  8. "Analysis of a model representing stagestructured population growth with state-dependent time delay", pp.855~869 (1992)
  9. "Time Lags and Global Stability in Two-Species Competition", pp.729~737 (1980)
  10. "Delay differential equations with applications in population dynamics" (1993), Academic Press

관련 논문AI추천

PERMANENCE OF A TWO SPECIES DELAYED COMPETITIVE MODEL WITH STAGE STRUCTURE AND HARVESTINGChangjin Xu, Yusen Zu대한수학회 · 대한수학회보2015 · 제52권 제4호The asymptotic stability behavior in a Lotka-Volterra type Predator-Prey system고윤희대한수학회 · 대한수학회보2006 · 제43권 제3호Uniqueness of Coexistence State of General Competition Model for Several Competing SpeciesJoon Hyuk Kang, Yun Myung Oh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호Stability for a Holling Type IV Food Chain System With Impulsive PerturbationsHunki Baek, Younghae Do경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호The existence of periodic solution of a two-patches predator-prey Dispersion Delay Models with Functional ResponseZhengqiu Zhang, Zhicheng Wang대한수학회 · 대한수학회지2003 · 제40권 제5호Duality in an Optimal Harvesting Problem by a Nonlinear Age-Spatial Structured Population Dynamic System김용국, 이미진, 정일효경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호

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