Study of an epidemic model with Z-type control

作     者：Sudip Samanta 

作者机构：Department of Mathematics Faculty of Science and Arts --Rabigh King Abdulaziz UniversityRabigh 25732Saudi Arabia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2018年第11卷第7期

页      面：37-57页

核心收录：

学科分类：0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：SI model basic reproduction number global stability Z-type control basin of attraction disease control 

摘      要：In the present paper,an epidemic model with Z-type control mechanism has been pro- posed and analyzed to explore the disease control strategy on an infectious disease *** uncontrolled model can have a disease-free equilibrium and an endemic *** expression of the basic reproduction number and the conditions for the stability of the equilibria are *** is also observed that the disease-free equilibrium is globally asymptotically stable if R0*** model is further improved by considering Z-control mechanism and *** can be controlled by using Z-control while the basic reproduction of the uncontrolled system is greater than *** positivity conditions of the solutions are derived and the basin of attraction for successful implementation of Z-control mechanism is also *** verify the analytical findings,extensive numerical simulations on the model are carried out.