MATHEMATICAL MODEL OF THREE SPECIES FOOD CHAIN WITH HOLLING TYPE-III FUNCTIONAL RESPONSE
نویسندگان
چکیده
منابع مشابه
Complex dynamics of a three species food-chain model with Holling type IV functional response
Abstract. In this paper, dynamical complexities of a three species food chain model with Holling type IV predator response is investigated analytically as well as numerically. The local and global stability analysis is carried out. The persistence criterion of the food chain model is obtained. Numerical bifurcation analysis reveals the chaotic behavior in a narrow region of the bifurcation para...
متن کاملPeriodic Solution for a Delayed Three-species Food-chain System with Holling Type-ii Functional Response
A delayed three-species periodic food-chain system with Holling type-II functional response is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for the existence of positive periodic solutions to the system. 1. Introduction. A rather characteristic behavior of population dynamics is the ofte...
متن کاملExistence of Periodic Solutions in a Food Chain Model with Holling–type II Functional Response
In this paper, a food chain model with Holling type II functional response on time scales is investigated. By using the Mawhin’s continuation theorem in coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. Keywords—Periodic solutions; food chain model; coincidence degree; time scales.
متن کاملA Food Chain Model Holling Type II with Distributed Delay
In this research we introduce and study, analytic and numerically, a model of chemostat with distributed delay. This a generalization of the model, with no delay, first treated by Kuang. We give conditions for asymptotic stability, survival of species or extinction of them. This research has been partially supported by Central Bank of Venezuela. 2050 Mario Cavani et al. Mathenatics Subject Clas...
متن کاملEmergence of Holling type III zooplankton functional response: bringing together field evidence and mathematical modelling.
Food-web population models are rather sensitive to parameterization of functional response in predation terms. Theoretical studies predict enhancing of ecosystems' stability for a functional response of sigmoid type (Holling type III). The choice of a correct type of response is especially important for modelling outcome of grazing control of algal blooms by zooplankton in nutrient-rich ecosyst...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2014
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v89i5.1