Dynamical system of a SEIQV epidemic model with nonlinear generalized incidence rate arising in biology  

作　　者：Muhammad Altaf Khan Yasir Khan Taj Wali Khan Saeed Islam 

机构地区：[1]Department of Mathematics Abdul Wali Khan University, Mardan Khyber Pakhtunkhwa, Pakistan [2]Department of Mathematics University of Haft Al-Batin Haft Al-Batin 31991, Saudi Arabia

出　　处：《International Journal of Biomathematics》2017年第7期107-125,共19页生物数学学报（英文版）

摘　　要：In this paper, a dynamical system of a SEIQV mathematical model with nonlinear generalized incidence arising in biology is investigated. The stability of the disease-free and endemic equilibrium is discussed. The basic reproduction number of the model is obtained. We found that the disease-free and endemic equilibrium is stable locally as well as globally asymptotically stable. For R0〈1, the disease-free equilibrium is stable both locally and globally and for R0〉1, the endemic equilibrium is stable globally asymptotically. Finally, some numerical results are presented.

关 键 词：Epidemic model SEIQV model VACCINATION global stability numerical solution. 

分 类 号：G0[文化科学]