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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.14 No.4
- 발행연도
- 2010.12
- 수록면
- 225 - 247 (23page)
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초록· 키워드
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In this paper, we establish a two-competitive-prey and one-predator Holling type II system by introducing a proportional periodic impulsive harvesting for all species and a constant periodic releasing, or immigrating, for the predator at different fixed time. We show the boundedness of the system and find conditions for the local and global stabilities of twoprey-free periodic solutions by using Floquet theory for the impulsive differential equation, small amplitude perturbation skills and comparison techniques. Also, we prove that the system is permanent under some conditions and give sufficient conditions under which one of the two preys is extinct and the remaining two species are permanent. In addition, we take account of the system with seasonality as a periodic forcing term in the intrinsic growth rate of prey population and then find conditions for the stability of the two-prey-free periodic solutions and for the permanence of this system. We discuss the complex dynamical aspects of these systems via bifurcation diagrams.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. ANALYSIS ON SYSTEM (1.1)
4. ANALYSIS ON SYSTEM (1.1) WITH SESONALITY
5. DISCUSSION
Acknowledgements
REFERENCES
참고문헌 (46)
참고문헌 신청
H. Baek / 2010 / Dynamic complexites of a three-species Beddington-DeAngelis system with impulsive control strategy / Acta Appl. Math. 110(1):23~38
H. Baek / 2010 / A food chain system with Holling-type IV functional response and impulsive perturbations / Computers and Mathematics with Applications 60:1152~1163
HUNKI BAEK / 2008 / DYNAMICS OF AN IMPULSIVE FOOD CHAIN SYSTEM WITH A LOTKA-VOLTERRA FUNCTIONAL RESPONSE / Journal of the Korean Society for Industrial and Applied Mathematics 12(3):139~151
D.D. Bainov / 1993 / Impulsive Differential Equations:asymptotic properties of the solutions / Singapore:World Scientific
J. B. Collings / 1997 / The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model / J. Math. Biol. 36:149~168
H. Baek / 2010 / A food chain system with Holling-type IV functional response and impulsive perturbations / Computers and Mathematics with Applications 60:1152~1163
HUNKI BAEK / 2008 / DYNAMICS OF AN IMPULSIVE FOOD CHAIN SYSTEM WITH A LOTKA-VOLTERRA FUNCTIONAL RESPONSE / Journal of the Korean Society for Industrial and Applied Mathematics 12(3):139~151
D.D. Bainov / 1993 / Impulsive Differential Equations:asymptotic properties of the solutions / Singapore:World Scientific
J. B. Collings / 1997 / The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model / J. Math. Biol. 36:149~168
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UCI(KEPA) : I410-ECN-0101-2012-410-003837197