Control problems of an age-dependent predator-prey system

2009 ◽  
Vol 24 (3) ◽  
pp. 253-262 ◽  
Author(s):  
Ze-rong He ◽  
Hai-tao Wang
Keyword(s):  
Control Problems ◽  
Predator Prey ◽  
Prey System ◽  
Age Dependent

Existence and Uniqueness for Stochastic Predator-Prey System of Two Species with Age-Structured

2011 ◽  
Vol 219-220 ◽  
pp. 680-684
Author(s):  
Fei Fei Li ◽  
Qi Min Zhang
Keyword(s):  
Strong Solution ◽  
Existence And Uniqueness ◽  
Population System ◽  
Predator Prey ◽  
Prey System ◽  
Age Dependent ◽  
Age Structured

In this paper we introduce a stochastic age-dependent predator-prey system. Existence and uniqueness of strong solution for a stochastic population system of two species with age-dependent are proved. The analysis uses Barkholder-Davis-Gundy’s inequality,ItÔ's formula and some special inequalities to achieve our purpose.

scholarly journals Optimal control of harvesting for age-dependent predator-prey system

2005 ◽  
Vol 42 (5-6) ◽  
pp. 573-584 ◽  
Author(s):  
Chun Zhao ◽  
Miansen Wang ◽  
Ping Zhao
Keyword(s):  
Optimal Control ◽  
Predator Prey ◽  
Prey System ◽  
Age Dependent

OPTIMAL CONTROL FOR A PREDATOR-PREY SYSTEM WITH AGE-DEPENDENT

2009 ◽  
Vol 02 (01) ◽  
pp. 45-59 ◽  
Author(s):  
ZHIXUE LU
Keyword(s):  
Optimal Control ◽  
Existence And Uniqueness ◽  
Normal Cone ◽  
Optimal Harvesting ◽  
Negative Solution ◽  
Optimal Control Strategy ◽  
Predator Prey ◽  
Prey System ◽  
Age Dependent ◽  
Existence Of Optimal Control

This paper is concerned with optimal harvesting policy for predator-prey system of three species with age-dependent. The existence and uniqueness of non-negative solution of the system are proved using the fixed pint theorem. The existence of optimal control strategy is discussed, optimality conditions are derived by means of normal cone and Dubovitskii–Milyutin's general theory. Our results extend some known criteria.

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