scholarly journals Global dynamics of a di usive single species model with periodic delay

2019 ◽  
Vol 16 (4) ◽  
pp. 2293-2304
Author(s):  
Yan Zhang ◽  
◽  
Sanyang Liu ◽  
Zhenguo Bai
Keyword(s):  
Single Species ◽  
Global Dynamics ◽  
Periodic Delay ◽  
Single Species Model

Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input

2019 ◽  
Vol 12 (06) ◽  
pp. 1950065
Author(s):  
Wu-Jun Pu ◽  
Danhua Jiang ◽  
Ya Wang ◽  
Zhanbing Bai
Keyword(s):  
Existence And Uniqueness ◽  
Spatial Dynamics ◽  
Single Species ◽  
Uniqueness Of Solution ◽  
Uniform Persistence ◽  
Global Dynamics ◽  
Chemostat Model ◽  
Periodic Input

In this paper, a nonlocal delayed chemostat model of a single species feeding on a periodically varying input nutrient is proposed. By the theory of semigroup, the existence and uniqueness of solution of the system are obtained. Furthermore, we investigate a threshold result on the global dynamics, and the uniform persistence of the system is established.

Permanence and extinction of a single species model in polluted environment

2020 ◽  
Vol 13 (04) ◽  
pp. 2050031
Author(s):  
Jiandong Zhao ◽  
Tonghua Zhang
Keyword(s):  
Sufficient Conditions ◽  
Single Species ◽  
Logistic Equation ◽  
Polluted Environment ◽  
Math Model ◽  
Generalized Logistic Equation ◽  
Appl Math ◽  
Single Species Model

Under the assumption that the growth of the population satisfies the generalized logistic equation, a new single species model in polluted environment is proposed in this work. Sufficient conditions for permanence and extinction of the species in the model are given respectively. It is shown that our model and the results are improvements of those in He and Wang [Appl. Math. Model. 31 (2007) 2227–2238].

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