scholarly journals Threshold dynamics of a predator–prey model with age-structured prey

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Yang Lu ◽  
Shengqiang Liu
Keyword(s):  
Threshold Dynamics ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Age Structured

scholarly journals A Stage-Structured Predator-Prey Model in a Patchy Environment

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Xuejuan Lu ◽  
Yuming Chen ◽  
Shengqiang Liu
Keyword(s):  
Reproduction Number ◽  
Ecological Environment ◽  
Threshold Dynamics ◽  
Predator Population ◽  
Patchy Environment ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Net Reproduction ◽  
The Relationship

In this paper, we propose a stage-structured predator-prey model with migrations among patches in an n-patch environment. The net reproduction number for each patch in isolation is obtained along with the net reproduction number of the system of patches, ℛ0. Inequalities describing the relationship among these numbers are also given. Furthermore, threshold dynamics determined by ℛ0 is established: the predator dies out if ℛ0<1 while the predator persists if ℛ0>1. Focusing on the case with two patches, we obtain that the dispersal decreases the net reproduction number ℛ0. By numerical simulations, we find that the dispersal may be a good thing or a bad thing because the dispersal could make the predator population thrive or extinct, and hence we might seek steady state in the ecological environment by controlling parameters related to the prey and the predator.

scholarly journals Analysis of an age-structured predator–prey model with disease in the prey

2006 ◽  
Vol 7 (4) ◽  
pp. 853-871 ◽  
Author(s):  
Manuel Delgado ◽  
Mónica Molina-Becerra ◽  
Antonio Suárez
Keyword(s):  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Age Structured
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