A PREY-PREDATOR MODEL WITH COVER FOR THE PREY AND AN ALTERNATIVE FOOD FOR THE PREDATOR AND CONSTANT HARVESTING OF BOTH THE SPECIES

被引：0

作者：

Narayan, K. Lakshmi ^{[1
]}

Pattabhiramacharyulu, N. ^{[2
]}

机构：

[1] SLCS IET, Dept Math Human, Hyderabad 501512, Andhra Pradesh, India

[2] NIT, Dept Math Human, Warangal 506004, Andhra Pradesh, India

来源：

JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2009年 / 2卷 / 01期

关键词：

Equilibrium point; Normal Study State; Prey; Predator; Stability; Threshold Diagrams; and Threshold Theorems;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper is devoted to an analytical investigation of a two species prey-predator model. Predator is provided with a limited resource of food in addition to the prey and a cover to prey proportionate to its population to get protection from the predator. Both the prey and predator are harvested at a constant rate. The model is characterized by couple of first order non-linear ordinary differential equations. The lone equilibrium point of the model is identified and its stability criteria is discussed. The Global stability of linearized equations is discussed by constructing a suitable Liapunov's function. A threshold theorem is stated and results are discussed.

引用

页码：43 / 54

页数：12