An Innovated SIRS Model for Information Spreading

2018 ◽  
pp. 405-413 ◽  
Author(s):  
Albin Shaji ◽  
R. V. Belfin ◽  
E. Grace Mary Kanaga
Keyword(s):  
Sirs Model ◽  
Information Spreading

scholarly journals Butterfly effect and spatial structure of information spreading in a chaotic cellular automaton

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Shu-Wei Liu ◽  
J. Willsher ◽  
T. Bilitewski ◽  
Jin-Jie Li ◽  
A. Smith ◽  
...  
Keyword(s):  
Spatial Structure ◽  
Cellular Automaton ◽  
Information Spreading ◽  
Butterfly Effect

scholarly journals Layered SIRS model of information spread in complex networks

2021 ◽  
Vol 411 ◽  
pp. 126524
Author(s):  
Yuexia Zhang ◽  
Dawei Pan
Keyword(s):  
Complex Networks ◽  
Sirs Model ◽  
Information Spread

scholarly journals Dynamics of hybrid switching diffusions SIRS model

2015 ◽  
Vol 52 (1-2) ◽  
pp. 101-123 ◽  
Author(s):  
Adel Settati ◽  
Aadil Lahrouz ◽  
Mustapha El Jarroudi ◽  
Moussa El Jarroudi
Keyword(s):  
Switching Diffusions ◽  
Sirs Model ◽  
Hybrid Switching

Modeling and simulation of the spread of H1N1 flu with periodic vaccination

2015 ◽  
Vol 09 (01) ◽  
pp. 1650003 ◽  
Author(s):  
Islam A. Moneim
Keyword(s):  
Influenza A ◽  
Vaccination Strategy ◽  
Vaccination Rate ◽  
Influenza Viruses ◽  
Sirs Epidemic Model ◽  
Sirs Model ◽  
Influenza A H1n1 ◽  
Large Populations ◽  
Stability Results ◽  
Influenza H1n1

Influenza H1N1 has been found to exhibit oscillatory levels of incidence in large populations. Clear peaks for influenza H1N1 are observed in several countries including Vietnam each year [M. F. Boni, B. H. Manh, P. Q. Thai, J. Farrar, T. Hien, N. T. Hien, N. Van Kinh and P. Horby, Modelling the progression of pandemic influenza A (H1N1) in Vietnam and the opportunities for reassortment with other influenza viruses, BMC Med. 7 (2009) 43, Doi: 10.1186/1741-7015-7-43]. So it is important to study seasonal forces and factors which can affect the transmission of this disease. This paper studies an SIRS epidemic model with seasonal vaccination rate. This SIRS model has a unique disease-free solution (DFS). The value R0, the basic reproduction number is obtained when the vaccination is a periodic function. Stability results for the DFS are obtained when R0 < 1. The disease persists in the population and remains endemic if R0 > 1. Also when R0 > 1 existence of a nonzero periodic solution is proved. These results obtained for our model when the vaccination strategy is a non-constant time-dependent function.

Dynamic behavior of a stochastic SIRS model with two viruses

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jiandong Zhao ◽  
Tonghua Zhang ◽  
Zhixia Han
Keyword(s):  
Growth Rate ◽  
Asymptotic Stability ◽  
Global Existence ◽  
Numerical Simulations ◽  
Positive Solution ◽  
Sufficient Conditions ◽  
Environmental Noise ◽  
Sirs Model ◽  
The Moment ◽  
Disease Free

AbstractTo study the effect of environmental noise on the spread of the disease, a stochastic Susceptible, Infective, Removed and Susceptible (SIRS) model with two viruses is introduced in this paper. Sufficient conditions for global existence of positive solution and stochastically asymptotic stability of disease-free equilibrium in the model are given. Then, it is shown that the positive solution is stochastically ultimately bounded and the moment average in time of the positive solution is bounded. Our results mean that the environmental noise suppresses the growth rate of the individuals and drives the disease to extinction under certain conditions. Finally, numerical simulations are given to illustrate our main results.

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