A bioeconomic model of a ratio-dependent predator-prey system and optimal harvesting

2006 ◽  
Vol 22 (1-2) ◽  
pp. 387-401 ◽  
Author(s):  
T. K. Kar ◽  
Swarnakamal Misra ◽  
B. Mukhopadhyay
Keyword(s):  
Optimal Harvesting ◽  
Bioeconomic Model ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent

Global dynamics of a ratio-dependent predator-prey system

2001 ◽  
Vol 43 (3) ◽  
pp. 268-290 ◽  
Author(s):  
Dongmei Xiao ◽  
Shigui Ruan
Keyword(s):  
Global Dynamics ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent

Harvesting Analysis of a Predator-Prey System with Functional Response

2013 ◽  
Vol 805-806 ◽  
pp. 1957-1961
Author(s):  
Ting Wu
Keyword(s):  
Numerical Simulation ◽  
Equilibrium Point ◽  
Functional Response ◽  
Sufficient Conditions ◽  
Optimal Harvesting ◽  
Predator Prey ◽  
Optimal Harvesting Policy ◽  
Prey System ◽  
The Stability ◽  
Maximal Principle

In this paper, a predator-prey system with functional response is studied,and a set of sufficient conditions are obtained for the stability of equilibrium point of the system. Moreover, optimal harvesting policy is obtained by using the maximal principle,and numerical simulation is applied to illustrate the correctness.

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