scholarly journals A DELAYED PREDATOR-PREY MODEL WITH PREY POPULATION GUIDED ANTI-PREDATOR BEHAVIOUR AND STAGE STRUCTURE

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Lingshu Wang ◽  
◽  
Mei Zhang ◽  
Meizhi Jia
Keyword(s):  
Stage Structure ◽  
Prey Population ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Predator Behaviour

A predator–prey model with taxis mechanisms and stage structure for the predator

Nonlinearity ◽  
2020 ◽  
Vol 33 (7) ◽  
pp. 3134-3172
Author(s):  
Jianping Wang ◽  
Mingxin Wang
Keyword(s):  
Stage Structure ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

A linear birth-and-death predator–prey process

1995 ◽  
Vol 32 (01) ◽  
pp. 274-277
Author(s):  
John Coffey
Keyword(s):  
Death Rate ◽  
Birth Rate ◽  
Prey Population ◽  
Death Process ◽  
Predator Population ◽  
Birth And Death Process ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

A new stochastic predator-prey model is introduced. The predator population X(t) is described by a linear birth-and-death process with birth rate λ 1 X and death rate μ 1 X. The prey population Y(t) is described by a linear birth-and-death process in which the birth rate is λ 2 Y and the death rate is . It is proven that and iff

Periodic solutions of a predator–prey model with stage structure for predator

2004 ◽  
Vol 154 (3) ◽  
pp. 847-870 ◽  
Author(s):  
Rui Xu ◽  
M.A.J. Chaplain ◽  
F.A. Davidson
Keyword(s):  
Periodic Solutions ◽  
Stage Structure ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Optimal control of a diffusive eco-epidemiological predator–prey model

2020 ◽  
Vol 13 (07) ◽  
pp. 2050065
Author(s):  
Xuebing Zhang ◽  
Guanglan Wang ◽  
Honglan Zhu
Keyword(s):  
Optimal Control ◽  
Semigroup Theory ◽  
Prey Population ◽  
Optimal Controls ◽  
Controlled System ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
The Cost ◽  
Infected Prey

In this study, we investigate the optimal control problem for a diffusion eco-epidemiological predator–prey model. We applied two controllers to this model. One is the separation control, which separates the uninfected prey from the infected prey population, and the other is used as a treatment control to decrease the mortality caused by the disease. Then, we propose an optimal problem to minimize the infected prey population at the final time and the cost cause by the controls. To do this, by the operator semigroup theory we prove the existence of the solution to the controlled system. Furthermore, we prove the existence of the optimal controls and obtain the first-order necessary optimality condition for the optimal controls. Finally, some numerical simulations are carried out to support the theoretical results.

Sign in / Sign up

Export Citation Format

Share Document