Survival analysis of a cooperation system with random perturbations in a polluted environment

2015 ◽  
Vol 18 ◽  
pp. 100-116 ◽  
Author(s):  
Meng Liu
Keyword(s):  
Survival Analysis ◽  
Random Perturbations ◽  
Polluted Environment ◽  
Cooperation System

scholarly journals Survival analysis of single-species population diffusion models with chemotaxis in polluted environment

2020 ◽  
Vol 5 (6) ◽  
pp. 6749-6765
Author(s):  
Xiangjun Dai ◽  
◽  
Suli Wang ◽  
Baoping Yan ◽  
Zhi Mao ◽  
...  
Keyword(s):  
Survival Analysis ◽  
Single Species ◽  
Diffusion Models ◽  
Polluted Environment ◽  
Species Population ◽  
Single Species Population

SURVIVAL ANALYSIS OF A STOCHASTIC COOPERATION SYSTEM IN A POLLUTED ENVIRONMENT

2011 ◽  
Vol 19 (02) ◽  
pp. 183-204 ◽  
Author(s):  
MENG LIU ◽  
KE WANG
Keyword(s):  
Response Function ◽  
Dose Response ◽  
Polluted Environment ◽  
Stochastic Noises ◽  
Long Run ◽  
Persistence In The Mean ◽  
Cooperation Model ◽  
The Mean ◽  
Cooperation System ◽  
Dose Response Function

Stochastic cooperation model of two species with generalized dose-response function in a polluted environment is studied. Sufficient criteria for extinction, non-persistence in the mean, weak persistence in the mean, strong persistence in the mean and stochastic persistence are established. The threshold between weak persistence in the mean and extinction for each species is obtained. Certain long-run-average limits of the solutions are represented by two constants in some cases. The results also reveal that both the stochastic noises and the dose-response function play important roles in determining the persistence or extinction of the species.

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