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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 743 - 751 (9page)
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초록· 키워드
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In this paper, we consider a discrete ratio-dependent predator-prey system with harvesting effect. In order to investigate dynamical behaviors of this system, first we find out all fixed points of the system and then classify their stabilities by using their Jacobian matrices and local stability method. Next, we display some numerical examples to substantiate theoretical results and finally, we show numerically, by means of a bifurcation diagram, that various dynamical behaviors including cycles, periodic doubling bifurcation and chaotic bands can be existed.
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참고문헌 (24)
참고문헌 신청
B. Liu / 2005 / Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy / Int. J. of Bifur. and Chaos 15 (2) : 517 ~ 531
D. Xiao / 2005 / Bifurcation of a ratio-dependent predator-prey system with constant rate harvesting / SIAM J. Appl. Math. 65 (3) : 737 ~ 753
D. Xiao / 2006 / Dynamics in a ratio-dependent predator-prey model with predator harvesting / J. Math. Anal. Appl. 324 : 14 ~ 29
E. Saez / 1999 / Dynamics of a predator-prey model / SIAM J. Appl. Math. 59 (5) : 1867 ~ 1878
G. Chen / 2011 / Analysis of stability for a discrete ratio-dependent predator-prey system / Indian J. Pure Appl. Math. 42 : 1 ~ 26
D. Xiao / 2005 / Bifurcation of a ratio-dependent predator-prey system with constant rate harvesting / SIAM J. Appl. Math. 65 (3) : 737 ~ 753
D. Xiao / 2006 / Dynamics in a ratio-dependent predator-prey model with predator harvesting / J. Math. Anal. Appl. 324 : 14 ~ 29
E. Saez / 1999 / Dynamics of a predator-prey model / SIAM J. Appl. Math. 59 (5) : 1867 ~ 1878
G. Chen / 2011 / Analysis of stability for a discrete ratio-dependent predator-prey system / Indian J. Pure Appl. Math. 42 : 1 ~ 26
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