Dynamics of the genic mutational rate on a population system with birth pulse and impulsive input toxins in polluted environment
- First Online:
- Cite this article as:
- Jiao, J., Cai, S. & Chen, L. J. Appl. Math. Comput. (2012) 40: 445. doi:10.1007/s12190-012-0577-5
- 121 Downloads
In this paper, we consider the genic mutation on an impulsive population system in polluted environment. All solutions of the investigated system are proved to be uniformly bounded. Using mathematical analysis methods, the conditions of the globally asymptotically stable population-extinction solution of the investigated system are obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is carried out illustrate our results. Our results provide reliable tactic basis for the practical biological resource management in polluted environment.