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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 831 - 844 (14page)
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In this paper, we consider a discrete predator-prey system with Watt-type functional response and impulsive controls. First, we find sufficient conditions for stability of a prey-free positive periodic solution of the system by using the Floquet theory and then prove the boundedness of the system. In addition, a condition for the permanence of the system is also obtained. Finally, we illustrate some numerical examples to substantiate our theoretical results, and display bifurcation diagrams and trajectories of some solutions of the system via numerical simulations, which show that impulsive controls can give rise to various kinds of dynamic behaviors.
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참고문헌 (38)
참고문헌 신청
J. F. M. Al-Omari / 2007 / Stability and Optimal Harvesting in Lotka-Volterra Competition Model for Two-species with Stage Structure / Kyungpook Mathematical Journal 47(1):31~56
J. F. Andrews / 1968 / A mathematical model for the continuous culture of macroorganisms untilizing inhibitory substrates / Biotechnol. Bioeng. 10:707~723
R. Arditi / 1989 / Coupling in predator-prey dynamics:Ratio-dependence / J. Theor. Biol. 139:311~326
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
H. Baek / 2010 / A food chain system with Holling-type IV functional response and impulsive perturbations / Computers and Mathematics with Applications 60:1152~1163
J. F. Andrews / 1968 / A mathematical model for the continuous culture of macroorganisms untilizing inhibitory substrates / Biotechnol. Bioeng. 10:707~723
R. Arditi / 1989 / Coupling in predator-prey dynamics:Ratio-dependence / J. Theor. Biol. 139:311~326
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
H. Baek / 2010 / A food chain system with Holling-type IV functional response and impulsive perturbations / Computers and Mathematics with Applications 60:1152~1163
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