Dynamics of the genic mutational rate on a population system with birth pulse and impulsive input toxins in polluted environment

2012 ◽  
Vol 40 (1-2) ◽  
pp. 445-457 ◽  
Author(s):  
Jianjun Jiao ◽  
Shaohong Cai ◽  
Lansun Chen
Keyword(s):  
Polluted Environment ◽  
Population System ◽  
Impulsive Input ◽  
Birth Pulse

scholarly journals Survival analysis of a stochastic delay single-species system in polluted environment with psychological effect and pulse toxicant input

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiangjun Dai ◽  
Suli Wang ◽  
Weizhi Xiong ◽  
Ni Li
Keyword(s):  
Sufficient Conditions ◽  
Single Species ◽  
Threshold Value ◽  
Psychological Effect ◽  
Polluted Environment ◽  
Population System ◽  
Stochastic Delay ◽  
Species Population ◽  
The Mean ◽  
Single Species Population

Abstract We propose and study a stochastic delay single-species population system in polluted environment with psychological effect and pulse toxicant input. We establish sufficient conditions for the extinction, nonpersistence in the mean, weak persistence, and strong persistence of the single-species population and obtain the threshold value between extinction and weak persistence. Finally, we confirm the efficiency of the main results by numerical simulations.

Dynamics of a stage-structured single population system with winter hibernation and impulsive effect in polluted environment

2016 ◽  
Vol 09 (05) ◽  
pp. 1650084 ◽  
Author(s):  
Jianjun Jiao ◽  
Shaohong Cai ◽  
Yujuan Zhang ◽  
Limei Li
Keyword(s):  
Biological Diversity ◽  
Natural World ◽  
Impulsive Effect ◽  
Polluted Environment ◽  
Biological Resource ◽  
Population System ◽  
Single Population ◽  
Population Extinction ◽  
All Solutions ◽  
Winter Hibernation

In this work, we construct a stage-structured single population system with winter hibernation and impulsive effect in polluted environment. All solutions of the investigated system are proved to be uniformly ultimately bounded. The conditions of the population-extinction solution of the investigated system are obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is inserted to illustrate the results. Our results indicate that the environmental pollution will reduce biological diversity of the natural world. Our results also provide reliable tactic basis for the practical biological resource management.

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