<p>Global bifurcation analysis of a quartic predator–prey model</p>

Gaiko V.A.

Issue 2, 2011 Vol. 3

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Global bifurcation analysis of a quartic predator–prey model

Gaiko V.A.

pdf (575K) / Annotation

List of references:

Н. Н. Баутин, Е. А. Леонтович. Методы и приемы качественного исследования динамических систем на плоскости. — М: Наука, 1990.
А. Р. Бахтеев, Г. В. Губенкова. Математическая модель иммунитета при поражении ВИЧ / Математика. Компьютер. Образование. — 2000. — Т. 7. — С. 703–709.
Ю. М. Романовский, Н. В. Степанова, Д. С. Чернавский. Математическая биофизика. — М: Наука, 1984.
A. D. Bazykin. Nonlinear dynamics of interacting populations. — Singapore: World Scientific, 1998. — MathSciNet: MR1635219.
H. W. Broer, V. Naudot, R. Roussarie, K. Saleh. Dynamics of a predator-prey model with nonmonotonic response function // Discrete and Continuous Dynamical Systems. Ser. A. — 2007. — V. 18. — P. 221–251. — DOI: 10.3934/dcds.2007.18.221. — MathSciNet: MR2291897.
H. W. Broer, V. A. Gaiko. Global qualitative analysis of a quartic ecological model // Nonlinear Analysis. — 2010. — V. 72, no. 2. — P. 628–634. — DOI: 10.1016/j.na.2009.07.004. — MathSciNet: MR2579331.
V. A. Gaiko. Global bifurcation theory and Hilbert’s sixteenth problem. — Boston: Kluwer, 2003. — MathSciNet: MR2023976.
C. S. Holling. Some characteristics of simple types of predation and parasitism // Canadian Entomology. — 1959. — V. 91. — P. 385–398. — DOI: 10.4039/Ent91385-7.
L. Perko. Differential equations and dynamical systems. — New York: Springer, 2002. — MathSciNet: MR1418638.
H. Zhu, S. A. Campbell, G. S. K. Wolkowicz. Bifurcation analysis of a predator-prey system with nonmonotonic functional response // SIAM Journal of Applied Mathematics. — 2002. — V. 63. — P. 636–682. — DOI: 10.1137/S0036139901397285. — MathSciNet: MR1951954.

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