Open Access Open Access  Restricted Access Subscription or Fee Access

Dynamics of Three Species Ecological model with Distributed Type delay

N V S R C Murty Gamini, Paparao. A.V.


This paper deals with the soundness analysis of 3 species Ecological model consists of a Prey (N1), a predator (N2) and a competitor (N3). A Time delay (continuous type) is incorporated within the interaction of predator and competitor species. The model is studied by the system of integro- differential equations. Stability Analysis is studied at co-existing state using 2 kinds of delay kernels (weight functions). The system stability is studied using square type and exponential type delay kernels and shown that the system is conditionally stable. Global stability analysis is studied by selecting appropriate lyapuonov function. Numerical simulation is carried out in support of stability analysis using 2 different kernels and shown that the delay kernels will switch the soundness from unstable to stable or contrariwise.


Equilibrium points, local stability, Global stability, Numerical simulation.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.