scholarly journals Global stability of a multistrain SIS model with superinfection and patch structure

2020 ◽  
Vol 43 (17) ◽  
pp. 9671-9680
Author(s):  
Attila Dénes ◽  
Yoshiaki Muroya ◽  
Gergely Röst
Keyword(s):  
Global Stability ◽  
Sis Model ◽  
Patch Structure

Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation

2019 ◽  
Vol 523 ◽  
pp. 677-690 ◽  
Author(s):  
Tomás Caraballo ◽  
Adel Settati ◽  
Mohamed El Fatini ◽  
Aadil Lahrouz ◽  
Abdelouahid Imlahi
Keyword(s):  
Global Stability ◽  
Lévy Noise ◽  
Sis Model ◽  
Positive Recurrence ◽  
Noise Perturbation ◽  
Levy Noise ◽  
Stochastic Sis Model

Global stability of population models with patch structure

2006 ◽  
Vol 7 (2) ◽  
pp. 235-247 ◽  
Author(s):  
Yasuhiro Takeuchi ◽  
Wendi Wang ◽  
Yasuhisa Saito
Keyword(s):  
Global Stability ◽  
Population Models ◽  
Patch Structure

EPIDEMIC SPREADING AND GLOBAL STABILITY OF A NEW SIS MODEL WITH DELAY ON HETEROGENEOUS NETWORKS

2015 ◽  
Vol 23 (04) ◽  
pp. 1550029 ◽  
Author(s):  
HUIYAN KANG ◽  
YIJUN LOU ◽  
GUANRONG CHEN ◽  
SEN CHU ◽  
XINCHU FU
Keyword(s):  
Global Stability ◽  
Heterogeneous Networks ◽  
Lyapunov Functional ◽  
Functional Differential Equations ◽  
Epidemic Spreading ◽  
Epidemic Threshold ◽  
Sis Model ◽  
Vector Population ◽  
Functional Differential ◽  
Disease Free

In this paper, we study a susceptible-infected-susceptible (SIS) model with time delay on complex heterogeneous networks. Here, the delay describes the incubation period in the vector population. We calculate the epidemic threshold by using a Lyapunov functional and some analytical methods, and find that adding delay increases the epidemic threshold. Then, we prove the global stability of disease-free and endemic equilibria by using the theory of functional differential equations. Furthermore, we show numerically that the epidemic threshold of the new model may change along with other factors, such as the infectivity function, the heterogeneity of the network, and the degrees of nodes. Finally, we find numerically that the delay can affect the convergence speed at which the disease reaches equilibria.

scholarly journals Global stability of a multistrain SIS model with superinfection

2016 ◽  
Vol 13 (6) ◽  
pp. 4-4
Author(s):  
Attila Dénes ◽  
Yoshiaki Muroya ◽  
Gergely Röst
Keyword(s):  
Global Stability ◽  
Sis Model
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