본문 바로가기
KERD
논문KCI 등재

A Holling type II food chain system with biological and chemical controls

Hunki Baek
대한수학회 (The Korean Mathematical Society)|2009.04|대한수학회논문집 (Communications of the KMS)|제24권 제2호|pp. 215-226

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Holling type II food chain systembiological and chemical controlsimpulsive differential equationFloquet theory
주제분류수학

초록

For a class of Holling type II food chain systems with biological and chemical controls, we give conditions of the local stability of prey-free periodic solutions and of the permanence of the system. Further, we show the system is uniformly bounded.

Abstract

For a class of Holling type II food chain systems with biological and chemical controls, we give conditions of the local stability of prey-free periodic solutions and of the permanence of the system. Further, we show the system is uniformly bounded.

참고문헌 (15)

  1. D. D. Bainov, "Impulsive Differential Equations: Periodic Solutions and Applications", Pitman Monographs and Surveys in Pure and Applied Mathematics, 66 (1993), Longman Science & Technical
  2. J. B. Collings, "The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model", J. Math. Biol., 36, pp.149~168 (1997)
  3. S.-B. Hsu, "Global stability for a class of predator-prey systems", SIAM J. Appl. Math., 55(3), pp.763~783 (1995)
  4. K. Kitamura, "Asymmetrical effect of migration on a prey-predator model", Physics Letters A, 357, pp.213~217 (2006)
  5. V. Lakshmikantham, "Theory of Impulsive Differential Equations" (1989), World Scientific Publisher
  6. X. Liu, "Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator", Chaos, Solitons and Fractals, 16, pp.311~320 (2003)
  7. B. Liu, "Analsis of a predator-prey model with Holling II functional response concerning impulsive control strategy", J. of Comp. and Appl. Math., 193(1), pp.347~362 (2006)
  8. B. Liu, "Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy", Int. J. of Bifur. and Chaos, 15(2), pp.517~531 (2005)
  9. E. Saez, "Dynamics of a predator-prey model", SIAM J. Appl. Math., 59(5), pp.1867~1878 (1999)
  10. G. T. Skalski, "Funtional responses with predator interference: viable alternatives to the Holling type II mode", Ecology, 82, pp.3083~3092 (2001)
  11. S. Tang, "Integrated pest management models and their dynamical behaviour", Bulletin of Math. Biol., 67, pp.115~135 (2005)
  12. S. Zhang, "Chaos in three species food chain system with impulsive perturbations", Chaos Solitons and Fractals, 24, pp.73~83 (2005)
  13. S. Zhang, "A Holling II functional response food chain model with impulsive perturbations", Chaos Solitons and Fractals, 24, pp.1269~1278 (2005)
  14. S. Zhang, "The study of predator-prey system with defensive ability of prey and impulsive perturbations on the predator", Chaos, Solitons and Fractals, 23, pp.631~643 (2005)
  15. S. Zhang, "Dynamic complexities of a food chain model with impulsive perturbations and Beddington-DeAngelis functional response", Chaos Solitons and Fractals, 27, pp.768~777 (2006)

관련 논문AI추천

Stability for a Holling Type IV Food Chain System With Impulsive PerturbationsHunki Baek, Younghae Do경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호Permanence of a Three-species Food Chain System with Impulsive PerturbationsHung Hwan Lee, Hunki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호Extinction and Permanence of a Holling I Type Impulsive Predator-prey Model정창도, Hunki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses백헌기경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Periodic Solutions in n-species Ratio-depedent Food Chain Model with Time DelaysQiming Liu, Rui Xu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제2호Global Periodic Solutions in a Delayed Predator-prey System with Holling II Functional ResponseHongmei Wang, Hongtao Wang, Zhichao Jiang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제2호

이 간행물의 다른 논문 (13건)

A generalized ideal based-zero divisor graphs of near-ringsPatchirajulu Dheena, Balasubramanian Elavarasanpp. 161-169Permutation functions arising from interpolationsSangtae Jeong, Hyeonok Leepp. 171-180Congruence properties of a Drinfeld modular function μ최소영pp. 181-185Fatou theorem and embedding theorems for the mean Lipschitz functions on the unit ball조홍래, 이진기pp. 187-195Compatible mappings of type (I) and (II) on intuitionistic fuzzy metric spaces in consideration of common fixed pointBhavana Deshpande, Sushil Sharmapp. 197-214
원문 보기