A Three-Species Food Chain System with Two Types of Functional Responses
نویسندگان
چکیده
منابع مشابه
A Three-Species Food Chain System with Two Types of Functional Responses
and Applied Analysis 3 The main object of this paper is to investigate the dynamic properties and behaviors of system 1.2 . In this context, the paper is organized as follows. In Section 2, we show the dissipativeness of system 1.2 and find a necessary condition for the mid-predator to survive. The local stabilities of the equilibrium points of system 1.2 are examined in Section 3, and the cond...
متن کاملDYNAMIC COMPLEXITY OF A THREE SPECIES COMPETITIVE FOOD CHAIN MODEL WITH INTER AND INTRA SPECIFIC COMPETITIONS
The present article deals with the inter specific competition and intra-specific competition among predator populations of a prey-dependent three component food chain model consisting of two competitive predator sharing one prey species as their food. The behaviour of the system near the biologically feasible equilibria is thoroughly analyzed. Boundedness and dissipativeness of the system are e...
متن کاملImpulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response
The dynamics of an impulsively controlled three-species food chain system with the BeddingtonDeAngelis functional response are investigated using the Floquet theory and a comparison method. In the system, three species are prey, mid-predator, and top-predator. Under an integrated control strategy in sense of biological and chemical controls, the condition for extinction of the prey and the mid-...
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 کاملDynamics of a Discrete Three Species Food Chain System
The main purpose of this paper is to investigate a discrete time three–species food chain system with ratio dependence. By employing coincidence degree theory and analysis techniques, sufficient conditions for existence of periodic solutions are established. Keywords—Food chain; ratio–dependent; coincidence degree; periodic solutions
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: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/934569