scholarly journals Dynamical behavior of a higher order stochastically perturbed SIRI epidemic model with relapse and media coverage

2020 ◽  
Vol 139 ◽  
pp. 110013
Author(s):  
Qun Liu ◽  
Daqing Jiang ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi ◽  
Bashir Ahmad
Keyword(s):  
Epidemic Model ◽  
Media Coverage ◽  
Dynamical Behavior ◽  
Higher Order ◽  
Stochastically Perturbed

scholarly journals Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiaodong Wang ◽  
Chunxia Wang ◽  
Kai Wang
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Media Coverage ◽  
Existence And Uniqueness ◽  
Deterministic Model ◽  
Reproduction Number ◽  
Global Dynamics ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Stochastic Sir

AbstractIn this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number $R_{0}$ R 0 which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.

scholarly journals Dynamical Behavior of a Stochastic SIRS Epidemic Model

2015 ◽  
Vol 10 (2) ◽  
pp. 56-73 ◽  
Author(s):  
N. T. Hieu ◽  
N. H. Du ◽  
P. Auger ◽  
N. H. Dang
Keyword(s):  
Epidemic Model ◽  
Dynamical Behavior ◽  
Sirs Epidemic Model ◽  
Stochastic Sirs Epidemic Model

scholarly journals A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 396 ◽  
Author(s):  
Zizhen Zhang ◽  
Soumen Kundu ◽  
Ruibin Wei
Keyword(s):  
Wireless Sensor Network ◽  
Sensor Network ◽  
Epidemic Model ◽  
Dynamical Behavior ◽  
Sufficient Conditions ◽  
Wireless Sensor ◽  
Feasible Region ◽  
Proposed Model ◽  
Malicious Codes ◽  
Theoretical Results

In this paper, we investigate a delayed SEIQRS-V epidemic model for propagation of malicious codes in a wireless sensor network. The communication radius and distributed density of nodes is considered in the proposed model. With this model, first we find a feasible region which is invariant and where the solutions of our model are positive. To show that the system is locally asymptotically stable, a Lyapunov function is constructed. After that, sufficient conditions for local stability and existence of Hopf bifurcation are derived by analyzing the distribution of the roots of the corresponding characteristic equation. Finally, numerical simulations are presented to verify the obtained theoretical results and to analyze the effects of some parameters on the dynamical behavior of the proposed model in the paper.

scholarly journals An HIV/AIDS epidemic model with media coverage, vertical transmission and time delays

2019 ◽  
Author(s):  
Timothy Robin Y. Teng ◽  
Elvira P. De Lara-Tuprio ◽  
Jay Michael R. Macalalag
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Media Coverage ◽  
Time Delays ◽  
Aids Epidemic ◽  
Hiv Aids
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