MATHEMATICAL MODEL OF THREE SPECIES FOOD CHAIN WITH HOLLING TYPE-III FUNCTIONAL RESPONSE
作者： M.S.W. Sunaryo , Z. Salleh , M. Mamat
关键词: Applied mathematics 、 Mathematical economics 、 Food chain 、 Hopf bifurcation 、 Instability 、 Functional response 、 Type (model theory) 、 Parameter space 、 Mathematics 、 Equilibrium point 、 Stability (probability)
摘要: In this paper, we study ecological model with a tritrophic food chain composed of classical Lotka-Volterra functional response for prey and predator, Holling type-III predator super- predator. There are two equilibrium points the system. parameter space, there passages from instability to stability, which called Hopf bifurcation points. For first point, it is possible find bifur- cation analytically prove that system has periodic solutions around these Furthermore dynamical behavior models investigated. The found be very sensitive values as well parameters practical life. Computer simulations carried out explain analytical findings.
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