Abstract
Coinfection of hosts with multiple strains or serotypes of the same agent, such as different influenza virus strains, different human papilloma virus strains, and different dengue virus serotypes, is not only a very serious public health issue but also a very challenging mathematical modeling problem. In this paper, we study a time-periodic two-strain SIS epidemic model with diffusion and latent period. We first define the basic reproduction number R0 i and introduce the invasion number Rˆ0 i for each strain i(i=1,2), which can determine the ability of each strain to invade the other single-strain. The main question that we investigate is the threshold dynamics of the model. It is shown that if R0 i⩽1(i=1,2), then the disease-free periodic solution is globally attractive; if R0 i>1⩾R0 j(i≠j,i,j=1,2), then competitive exclusion, where the jth strain dies out and the ith strain persists, is a possible outcome; and if Rˆ0 i>1(i=1,2), then the disease persists uniformly. Finally we present the basic framework of threshold dynamics of the system by using numerical simulations, some of which are different from that of the corresponding multi-strain SIS ODE models.
| Original language | English (US) |
|---|---|
| Article number | 102966 |
| Journal | Nonlinear Analysis: Real World Applications |
| Volume | 51 |
| DOIs | |
| State | Published - Feb 1 2020 |
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Keywords
- Basic reproduction number
- Competitive exclusion
- SIS epidemic model
- Threshold dynamics
- Time periodicity
- Two strains
ASJC Scopus subject areas
- Analysis
- Engineering(all)
- Economics, Econometrics and Finance(all)
- Computational Mathematics
- Applied Mathematics
Cite this
Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period. / Zhao, Lin; Wang, Zhi Cheng; Ruan, Shigui.
In: Nonlinear Analysis: Real World Applications, Vol. 51, 102966, 01.02.2020.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period
AU - Zhao, Lin
AU - Wang, Zhi Cheng
AU - Ruan, Shigui
PY - 2020/2/1
Y1 - 2020/2/1
N2 - Coinfection of hosts with multiple strains or serotypes of the same agent, such as different influenza virus strains, different human papilloma virus strains, and different dengue virus serotypes, is not only a very serious public health issue but also a very challenging mathematical modeling problem. In this paper, we study a time-periodic two-strain SIS epidemic model with diffusion and latent period. We first define the basic reproduction number R0 i and introduce the invasion number Rˆ0 i for each strain i(i=1,2), which can determine the ability of each strain to invade the other single-strain. The main question that we investigate is the threshold dynamics of the model. It is shown that if R0 i⩽1(i=1,2), then the disease-free periodic solution is globally attractive; if R0 i>1⩾R0 j(i≠j,i,j=1,2), then competitive exclusion, where the jth strain dies out and the ith strain persists, is a possible outcome; and if Rˆ0 i>1(i=1,2), then the disease persists uniformly. Finally we present the basic framework of threshold dynamics of the system by using numerical simulations, some of which are different from that of the corresponding multi-strain SIS ODE models.
AB - Coinfection of hosts with multiple strains or serotypes of the same agent, such as different influenza virus strains, different human papilloma virus strains, and different dengue virus serotypes, is not only a very serious public health issue but also a very challenging mathematical modeling problem. In this paper, we study a time-periodic two-strain SIS epidemic model with diffusion and latent period. We first define the basic reproduction number R0 i and introduce the invasion number Rˆ0 i for each strain i(i=1,2), which can determine the ability of each strain to invade the other single-strain. The main question that we investigate is the threshold dynamics of the model. It is shown that if R0 i⩽1(i=1,2), then the disease-free periodic solution is globally attractive; if R0 i>1⩾R0 j(i≠j,i,j=1,2), then competitive exclusion, where the jth strain dies out and the ith strain persists, is a possible outcome; and if Rˆ0 i>1(i=1,2), then the disease persists uniformly. Finally we present the basic framework of threshold dynamics of the system by using numerical simulations, some of which are different from that of the corresponding multi-strain SIS ODE models.
KW - Basic reproduction number
KW - Competitive exclusion
KW - SIS epidemic model
KW - Threshold dynamics
KW - Time periodicity
KW - Two strains
UR - http://www.scopus.com/inward/record.url?scp=85068869203&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85068869203&partnerID=8YFLogxK
U2 - 10.1016/j.nonrwa.2019.102966
DO - 10.1016/j.nonrwa.2019.102966
M3 - Article
VL - 51
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
SN - 1468-1218
M1 - 102966
ER -