지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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In this paper, a three-dimensional
eco-epidemiological model with delay is considered. The stability of
the two equilibria, the existence of Hopf bifurcation and the
permanence are investigated. It is found that Hopf bifurcation
occurs when the delay τ passes though a sequence of critical
values. The estimation of the length of delay to preserve stability
has also been calculated. Numerical simulation with a hypothetical
set of data has been done to support the analytical findings.
목차
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참고문헌 (27)
참고문헌 신청
. A. Aziz-Alaoui / 2003 / Boundedness and global stability for a predatorprey model with modified Leslie-Gower and Holling-type II schemes / Appl. Math. Lett. 16 (7) : 1069 ~
A. F. Nindjin / 2006 / Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay / Nonlinear Anal. Real World Appl. 7 (5) : 11
E. Beretta / 1997 / Convergence results in SIR epidemic models with varying population sizes / Nonlinear Anal. 28 (12) : 1909 ~ 1921
G. Butler / 1986 / Uniformly persistent systems / Proc. Amer. Math. Soc. 96 (3) : 425 ~ 430
H. Freedman / 1983 / The trade-off between mutual interference and time lags in predator-prey systems / Bull. Math. Biol. 45 (6) : 991 ~ 1004
A. F. Nindjin / 2006 / Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay / Nonlinear Anal. Real World Appl. 7 (5) : 11
E. Beretta / 1997 / Convergence results in SIR epidemic models with varying population sizes / Nonlinear Anal. 28 (12) : 1909 ~ 1921
G. Butler / 1986 / Uniformly persistent systems / Proc. Amer. Math. Soc. 96 (3) : 425 ~ 430
H. Freedman / 1983 / The trade-off between mutual interference and time lags in predator-prey systems / Bull. Math. Biol. 45 (6) : 991 ~ 1004
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