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

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

作     者:Swapan Kumar Nandi Soovoojeet Jana Manotosh Manadal T. K. Kar 

作者机构:Department of MathematicsNayabasat P. M. Sikshaniketan Paschim Medinipur 721253 West Bengal India Department of Mathematics Ramsaday College Amta 711501 West Bengal India Department of Mathematics Tamralipta MahavidyalayaTamluk 721636 West Bengal India Department of MathematicsIndian Institute of Engineering Science and Technology Shibpur Howrah 711103 West Bengal India 

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1期

页      面:23-40页

核心收录:

学科分类:090603[农学-临床兽医学] 09[农学] 0906[农学-兽医学] 0904[农学-植物保护] 090401[农学-植物病理学] 0701[理学-数学] 0812[工学-计算机科学与技术(可授工学、理学学位)] 

基  金:Bangladesh Council of Scientific and Industrial Research, BCSIR, (25(0224)/14/EMRII) Central Mechanical Engineering Research Institute, Council of Scientific and Industrial Research, CMERI, (25(0224) 

主  题:疾病传播 流行模型 模糊期望 浸透 在系统 动态行为 模糊数字 SIS 

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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