Analysis and control of a non-smooth population model with impulsive effects

作者：Liu, Jing Na^*; Zhang, Tie; Zhao, Lichun; Liu, Bing

来源：International Journal of Biomathematics, 2018, 11(5): 1850074.

DOI：10.1142/S1793524518500742

• Impulsive differential equation
• global analysis
• order one periodic solution
• impulsive controller
• non-smooth population model

In this paper, a non-smooth population model with impulsive effects is proposed by combining discontinuity and non-smoothness. According to tlie qualitative theory of differential equations, the global analysis of the model is discussed. Using the theory of impulsive differential equations, the existence conditions of order one periodic solution are obtained. And the impulsive controllers are designed to make the pest populations stay at the refuge level. Some simulations are carried out to prove the results.

• 出版日期2018-7
• 单位鞍山师范学院; 东北大学