Dynamics of a single population system with impulsively unilateral diffusion and impulsive input toxins in polluted environment

作者：Cai Shaohong; Jiao Jianjun^*; Li Limei

来源：Advances in Difference Equations, 2015, 2015(1): 308.

DOI：10.1186/s13662-015-0600-x

• population system
• impulsively unilateral diffusion
• polluted environment
• extinction
• permanence

In this paper, we consider a single population system with impulsively unilateral diffusion and impulsive input toxins in a polluted environment. All solutions of the investigated system are proved to be uniformly bounded. By mathematical analysis methods and the theory of impulsive differential equations, the condition of the globally asymptotically stable population-extinction solution of the investigated system is obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is carried out to illustrate our results. Our results provide a reliable theory basis for exploring biological resource management in a polluted environment.

• 出版日期2015-10-6
• 单位贵州财经大学