COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL

doi:10.1016/S0252-9602(16)30087-X

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1524-1530.doi: 10.1016/S0252-9602(16)30087-X

COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL

Yoshiaki MUROYA¹, Eleonora MESSINA², Elvira RUSSO², Antonia VECCHIO³

1. Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan;
2. Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli "Federico II"-Via Cintia, I-80126 Napoli, Italy;
3. Istituto per Applicazioni del Calcolo "M. Picone", Sede di Napoli-CNR-Via P. Castellino, 111-80131 Napoli, Italy

收稿日期:2014-06-13 修回日期:2015-09-19 出版日期:2016-10-25 发布日期:2016-10-25
通讯作者: Yoshiaki MUROYA,ymuroya@waseda.jp E-mail:ymuroya@waseda.jp
作者简介:Eleonora MESSINA,eleonora.messina@unina.it;Elvira RUSSO,elvrusso@unina.it;Antonia VECCHIO,a.vecchio@iac.cnr.it
基金资助:
The first author was supported by JSPS KAKENHI Grant Number 15K05010.

COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL

Yoshiaki MUROYA¹, Eleonora MESSINA², Elvira RUSSO², Antonia VECCHIO³

1. Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan;
2. Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli "Federico II"-Via Cintia, I-80126 Napoli, Italy;
3. Istituto per Applicazioni del Calcolo "M. Picone", Sede di Napoli-CNR-Via P. Castellino, 111-80131 Napoli, Italy

Received:2014-06-13 Revised:2015-09-19 Online:2016-10-25 Published:2016-10-25
Contact: Yoshiaki MUROYA,ymuroya@waseda.jp E-mail:ymuroya@waseda.jp
Supported by:
The first author was supported by JSPS KAKENHI Grant Number 15K05010.

摘要/Abstract

摘要：

In this paper, to complete the global dynamics of a multi-strains SIS epidemic model, we establish a precise result on coexistence for the cases of the partial and complete duplicated multiple largest reproduction ratios for this model.

关键词: multi-strains SIS epidemic model, global attractivity, Lyapunov function, coexistence

Abstract:

Key words: multi-strains SIS epidemic model, global attractivity, Lyapunov function, coexistence

中图分类号:

34K20

Yoshiaki MUROYA, Eleonora MESSINA, Elvira RUSSO, Antonia VECCHIO. COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL[J]. 数学物理学报(英文版), 2016, 36(5): 1524-1530.

Yoshiaki MUROYA, Eleonora MESSINA, Elvira RUSSO, Antonia VECCHIO. COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL[J]. Acta mathematica scientia,Series B, 2016, 36(5): 1524-1530.

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COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL

COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL

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