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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.12 No.3
- 발행연도
- 2008.9
- 수록면
- 139 - 151 (13page)
이용수
초록· 키워드
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We investigate a three species food chain system with Lotka-Volterra type functional response and impulsive perturbations. We find a condition for the local stability of prey or predator free periodic solutions by applying the Floquet theory and the comparison theorems and show the boundedness of this system. Furthermore, we illustrate some examples.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN THEOREMS
4. NUMERICAL EXAMPLES
5. CONCLUSION
REFERENCES
참고문헌 (22)
참고문헌 신청
1. [단행본] - S. Anita / 2000 / Analysis and control of age-dependent population dynamics / Kluwer Academic Publishers
2. [단행본] - F. Brauer / 2001 / Mathematical models in population biology and epidemilogy, Texts in applied mathematics 40 / Springer-Verlag
3. [학술지(정기간행물)] - 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
4. [학술지(정기간행물)] - C. Cosner / 1999 / Effects of spatial grouping on the functional response of predators / Theoretical Popuation Biology 56 : 65 ~ 75
5. [학술지(정기간행물)] - J. M. Cushing / 1977 / Periodic time-dependent predator-prey systems / SIAM J. Appl. Math 32 : 82 ~ 95
2. [단행본] - F. Brauer / 2001 / Mathematical models in population biology and epidemilogy, Texts in applied mathematics 40 / Springer-Verlag
3. [학술지(정기간행물)] - 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
4. [학술지(정기간행물)] - C. Cosner / 1999 / Effects of spatial grouping on the functional response of predators / Theoretical Popuation Biology 56 : 65 ~ 75
5. [학술지(정기간행물)] - J. M. Cushing / 1977 / Periodic time-dependent predator-prey systems / SIAM J. Appl. Math 32 : 82 ~ 95
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