Analysis of a fuzzy epidemic model with saturated treatment and disease transmission

被引：9
|
作者：
Nandi, Swapan Kumar [1 ,4 ]
Jana, Soovoojeet [2 ]
Manadal, Manotosh [3 ,4 ]
Kar, T. K. [4 ]
机构：
[1] Nayabasat PM Sikshaniketan, Dept Math, Medinipur 721253, W Bengal, India
[2] Ramsaday Coll, Dept Math, Amta 711401, W Bengal, India
[3] Tamralipta Mahavidyalaya, Dept Math, Tamluk 721636, W Bengal, India
[4] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, W Bengal, India
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 01期
关键词：
SIS epidemic model; fuzzy expected value; fuzzy basic reproduction number; backward bifurcation; VACCINATION; DYNAMICS; INCLUDES;
D O I：
10.1142/S179352451850002X
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we describe an SIS epidemic model where both the disease transmission rate and treatment function are considered in saturated forms. The dynamical behavior of the system is analyzed. The system is customized by considering the disease transmission rate and treatment control as fuzzy numbers and then fuzzy expected value of the infected individuals is determined. The fuzzy basic reproduction number is investigated and a threshold condition of pathogen is derived at which the system undergoes a backward bifurcation.
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页数：18
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