Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks

Huo, Jiawei; Li, Yimin; Hua, Jing

doi:10.1155/2019/8792497

Cited by 5 publications

(2 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results show that self-segregation can effectively control the spread of infectious diseases. The current research will help to propose a more reasonable model for the transmission of new the coronavirus and future epidemiological research, and make more reasonable predictions and control efforts [24][25][26].…”

Section: Discussionmentioning

confidence: 99%

Modeling the COVID-19 epidemic and awareness diffusion on multiplex networks

He¹,

Zhu²

2021

Commun. Theor. Phys.

View full text Add to dashboard Cite

The coronavirus disease 2019 (COVID-19) has been widely spread around the world, and the control and behavior dynamics are still one of the important research directions in the world. Based on the characteristics of COVID-19's spread, a coupled disease-awareness model on multiplex networks is proposed in this paper to study and simulate the interaction between the spreading behavior of COVID-19 and related information. In the layer of epidemic spreading, the nodes can be divided into five categories, where the topology of the network represents the physical contact relationship of the population. The topological structure of the upper network shows the information interaction among the nodes, which can be divided into aware and unaware states. Awareness will make people play a positive role in preventing the epidemic diffusion, influencing the spread of the disease. Based on the above model, we have established the state transition equation through the microscopic Markov chain approach (MMCA), and proposed the propagation threshold calculation method under the epidemic model. Furthermore, MMCA iteration and the Monte Carlo method are simulated on the static network and dynamic network, respectively. The current results will be beneficial to the study of COVID-19, and propose a more rational and effective model for future research on epidemics.

show abstract

Section: Discussionmentioning

confidence: 99%

Modeling the COVID-19 epidemic and awareness diffusion on multiplex networks

He¹,

Zhu²

2021

Commun. Theor. Phys.

View full text Add to dashboard Cite

show abstract

“…At the same time, the above research can also help to better understand the causes of spatial pattern formation and enrich the research paradigm of reaction-diffusion systems. In the future, we will continue to discuss the dynamics and control methods of spatiotemporal network rumor propagation [42][43][44][45][46] .…”

Section: Discussionmentioning

confidence: 99%

Pattern formation in a reaction–diffusion rumor propagation system with Allee effect and time delay

Zhu

2022

Nonlinear Dyn

View full text Add to dashboard Cite

This paper analyzes the diffusion behavior of the suspicious and the infected cabins in cyberspace by establishing a rumor propagation reaction diffusion model with Allee effect and time delay. The Turing instability conditions of the system under various conditions are emphatically studied. After considering the delay effect of rumor propagation systems, we have studied the correlation between the stability of the system under the influence of small time delay and the homogeneous system near the equilibrium point, and the critical condition of the delay-induced spatial instability is given. Further considering the possibility of diffusion coefficient changing with time, the critical parameter curves of stability and instability of approximate systems are given by means of Floquet theory, and the necessary conditions of Turing-instability of periodic coefficient are studied. In the numerical simulations, we find that the variation of diffusion coefficient will change the pattern type, and the periodical diffusion behavior will affect the arrangement of the crowd gathering area in the pattern.

show abstract

Spatial dynamics and optimization method for a rumor propagation model in both homogeneous and heterogeneous environment

et al. 2021

View full text Add to dashboard Cite

Considering the influence of environmental capacity and forgetting on rumor spreading, we improve the traditional SIR (susceptible–infected–removed) rumor propagation model and give two dynamic models of rumor propagation in heterogeneous environment and homogeneous environment, respectively. The main purpose of this paper is to make a dynamic analysis of rumor propagation models. In the spatial heterogeneous environment, we have analyzed the uniform persistence of the rumor propagation model and the asymptotic behavior of the positive equilibrium point when the diffusion rate of rumor–susceptible tends to zero. In the spatial homogeneous environment, we discuss the stability of rumor propagation model. Further, optimal control and the necessary optimality conditions are obtained by using the maximum principle. Finally, we study the Hopf bifurcation phenomenon through inducing time delay in the reaction–diffusion model. In addition, the existence of Hopf bifurcation is verified and the influence of diffusion coefficients is studied by numerical simulations.

show abstract

Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks

Cited by 5 publications

References 27 publications

Modeling the COVID-19 epidemic and awareness diffusion on multiplex networks

Modeling the COVID-19 epidemic and awareness diffusion on multiplex networks

Pattern formation in a reaction–diffusion rumor propagation system with Allee effect and time delay

Spatial dynamics and optimization method for a rumor propagation model in both homogeneous and heterogeneous environment

Contact Info

Product

Resources

About