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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.22 No.3
- 발행연도
- 2018.9
- 수록면
- 179 - 199 (21page)
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초록· 키워드
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The paper explores a tri-trophic food chain model with density dependent mortality of intermediate predator. To analyze this aspect, we have worked out the local stability of different equilibrium points. We have also derived the conditions for global stability of interior equilibrium point and conditions for persistence of model system. To observe the global behaviour of the system, we performed extensive numerical simulations. Our simulation results reveal that chaotic dynamics is produced for increasing value of half-saturation constant. We have also observed trajectory motions around different equilibrium points. It is noticed that chaotic dynamics has been controlled by increasing value of density dependent mortality parameter. So, we conclude that the density dependent mortality parameter can be used to control chaotic dynamics. We also applied basic tools of nonlinear dynamics such as Poincare section and Lyapunov exponent to investigate chaotic behaviour of the system.
목차
ABSTRACT
1. INTRODUCTION
2. MODEL FORMULATION
3. EXISTENCE AND LOCAL STABILITY OF EQUILIBRIUM POINTS
4. GLOBAL STABILITY AND PERSISTENCE
5. NUMERICAL RESULTS AND DISCUSSION
REFERENCES
참고문헌 (44)
참고문헌 신청
[학술지(정기간행물)] - Anderson R. M. / 1980 / Infectious diseases and population cycles of forest insects / Science 210 : 658 ~ 661
[단행본] - Anderson, R.M / 1991 / Infectious Diseases of Humans: Dynamics and Control / Oxford University Press
[학술지(정기간행물)] - Aziz-Alaoui MA / 2002 / Study of a Leslieower-type tritrophic population model / Chaos Solitons Fractals 14 : 1275 ~ 1293
[학술지(정기간행물)] - Butler, G. J. / 1986 / Uniformly persistent systems / Proc. Am. Math. Soc. 96 : 425 ~ 429
[학술지(정기간행물)] - M. Bandyopadhyay / 2008 / Density Dependent Predator Death Prevalence Chaos In A Tri-Trophic Food Chain Model / Nonlinear Analysis: Modelling and Control 13 (3) : 305 ~ 324
[단행본] - Anderson, R.M / 1991 / Infectious Diseases of Humans: Dynamics and Control / Oxford University Press
[학술지(정기간행물)] - Aziz-Alaoui MA / 2002 / Study of a Leslieower-type tritrophic population model / Chaos Solitons Fractals 14 : 1275 ~ 1293
[학술지(정기간행물)] - Butler, G. J. / 1986 / Uniformly persistent systems / Proc. Am. Math. Soc. 96 : 425 ~ 429
[학술지(정기간행물)] - M. Bandyopadhyay / 2008 / Density Dependent Predator Death Prevalence Chaos In A Tri-Trophic Food Chain Model / Nonlinear Analysis: Modelling and Control 13 (3) : 305 ~ 324
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