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

International Journal of Biomathematics 2018年第1期11卷 23-40页

作者： Swapan Kumar Nandi soovoojeet.jana Manotosh Manadal T. K. Kar 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

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 trans- mission rate and treatment control as fuzzy numbers and then fuzzy expected value of the infected individuals is determined. The fuzzy basic reproduction number is investi- gated and a threshold condition of pathogen is derived at which the system undergoes a backward bifurcation.

关键词： SIS epidemic model fuzzy expected value fuzzy basic reproduction number backward bifurcation.

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Analysis of a fractional-order SIS epidemic model with saturated treatment

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第1期12卷 185-212页

作者： soovoojeet.jana Manotosh Mandal Swapan Kumar Nandi T.K.Kar Department of Mathematics Ramsaday College Amta-711401HowrahWest BengalIndia Department of Mathematics Tamralipta Mahavidyalaya Tamluk-721636West BengalIndia Department of Mathematics Nayabasat P.M.Sikshaniketan Paschim Medinipur-721253West BengalIndia Department of Mathematics Indian Institute of Engineering Science and Technology Shibpur Howrah-711103West BengalIndia

In this paper,we propose and analyze a fractional-order SIS epidemic model with the saturated treatment and disease *** existence and uniqueness,nonnegativity and finiteness of solutions for our suggested model have been *** equilibria of the model are found and their local and global stability analyses are also ***,the conditions for fractional backward and fractional Hopf bifurcation are also analyzed in both the commensurate and incommensurate fractional-order *** study how the control parameter and the order of the fractional derivative play role in local as well as global stability of equilibrium points and Hopf *** have demonstrated the analytical results of our proposed model system through several numerical simulations.

关键词： Caputo fractional differentiation SIS epidemic model global asymptotic stability treatment control fractional Hopf bifurcation fractional backward bifurcation

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