Influence of Non-Selective Harvesting and Prey Reserve Capacity on Prey-Predator Dynamics
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 11
Abstract
In the present paper, we have developed a simple two species prey-predator model in which the prey dispersal in a two patch environment, one is assumed to be a free hunting zone and the other is a reserved zone where hunting and other extractive activities are prohibited. We assume that the prey possesses heterogeneous intrinsic growth rate with uniform carrying capacity. We also see the effect of non selective harvesting on prey-predator system in a free hunting zone. Criteria for local stability of the non-negative equilibria are obtained. Using differential inequality, we obtain sufficient conditions that ensure the persistence of the system. Finally, numerical simulations are given to verify the analytical results with the help of different sets of parameters
Authors and Affiliations
Manju Agarwal , Rachana Pathak
Keywords
Related Articles
- EP ID EP93763
- DOI -
- Views 113
- Downloads 0
Some Common Fixed Point Theorems for Weakly Compatible Mappings in Menger Spaces
In this paper,firstly we prove a common fixed point theorem for weakly compatible mappings. Secondly, we prove common fixed point theorems for weakly compatible mappings with E.A and CLR property in Menger spaces. At the...
Role of Ψμ Operator in Ideal Supra Topological Spaces
In this paper, we shall discuss the ideal on supra topological space and the properties of Ψ operator on topological space. Moreover, We introduce Ψ_μ operator and its properties on supra topological space. In addition w...
Some Studies on Semirings
In this paper, we study the structures of Boolean Semirings and multiplicatively semirings. We proved that, Let S be a multiplicatively subidempotent semiring which contains multiplicative identity1 which is also additiv...
General Bulk Service Queueing System with Multiple Working Vacation
This paper analyses a single server with bulk service queue with general arrival pattern and multiple working vacation period. The model is analyzed by using Embedded Markov Chain technique. The steady state prob...
Plane Gravitational Waves with Macro and Micro Matter Fields in Bimetric Relativity
In this paper, we will study Z = type plane gravitational waves either for macro field or for micro matter field or for coupled macro and micro matter represented by perfect fluid and scalar meson matter field respective...