scholarly journals Endemic Bubbles Generated by Delayed Behavioral Response: Global Stability and Bifurcation Switches in an SIS Model

2015 ◽  
Vol 75 (1) ◽  
pp. 75-91 ◽  
Author(s):  
Maoxing Liu ◽  
Eduardo Liz ◽  
Gergely Röst
Keyword(s):  
Global Stability ◽  
Behavioral Response ◽  
Sis Model ◽  
Stability And Bifurcation

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 and bifurcation of time delayed prey–predator system incorporating prey refuge

2012 ◽  
Vol 85 ◽  
pp. 57-77 ◽  
Author(s):  
Soovoojeet Jana ◽  
Milon Chakraborty ◽  
Kunal Chakraborty ◽  
T.K. Kar
Keyword(s):  
Global Stability ◽  
Prey Refuge ◽  
Stability And Bifurcation ◽  
Predator System

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 On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission

2004 ◽  
Vol 2004 (56) ◽  
pp. 2971-2987 ◽  
Author(s):  
M. M. A. El-Sheikh ◽  
S. A. A. El-Marouf
Keyword(s):  
Hopf Bifurcation ◽  
Global Stability ◽  
Vertical Transmission ◽  
Epidemic Model ◽  
Center Manifold ◽  
Three Dimensional ◽  
Stability And Bifurcation ◽  
The Stability ◽  
Bifurcation Of Solutions

A four-dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three-dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf-Andronov-Poincaré bifurcation for the four-dimensional epidemic model are studied.

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