Global stability and control strategies of a SIQRS epidemic model with time delay

Ma, Yuanyuan; Cui, Yue; Wang, Min

doi:10.1002/mma.8309

Cited by 4 publications

(1 citation statement)

References 62 publications

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“…In this paper, we present a SAIR-type epidemiological model based on a system of partial differential equations, incorporating a discrete-time delay to mimic the virus's incubation period within a host and the time it takes for a person to become infected [10,[18][19][20][21]. The spatial effect is justified due to people's mobility and the spread of the virus [6,16,22,23].…”

Section: Introductionmentioning

confidence: 99%

Existence of Traveling Waves of a Diffusive Susceptible–Infected–Symptomatic–Recovered Epidemic Model with Temporal Delay

Miranda,

Arenas,

González-Parra

et al. 2024

Mathematics

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The aim of this article is to investigate the existence of traveling waves of a diffusive model that represents the transmission of a virus in a determined population composed of the following populations: susceptible (S), infected (I), asymptomatic (A), and recovered (R). An analytical study is performed, where the existence of solutions of traveling waves in a bounded domain is demonstrated. We use the upper and lower coupled solutions method to achieve this aim. The existence and local asymptotic stability of the endemic (Ee) and disease-free (E0) equilibrium states are also determined. The constructed model includes a discrete-time delay that is related to the incubation stage of a virus. We find the crucial basic reproduction number R0, which determines the local stability of the steady states. We perform numerical simulations of the model in order to provide additional support to the theoretical results and observe the traveling waves. The model can be used to study the dynamics of SARS-CoV-2 and other viruses where the disease evolution has a similar behavior.

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Section: Introductionmentioning

confidence: 99%

Existence of Traveling Waves of a Diffusive Susceptible–Infected–Symptomatic–Recovered Epidemic Model with Temporal Delay

Miranda,

Arenas,

González-Parra

et al. 2024

Mathematics

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Spectral analysis and its applications for a class of scale‐free network based on the weighted m‐clique annex operation

Zhang

Alsaedi

et al. 2022

Math Methods in App Sciences

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The spectrum of network is an important tool to study the function and dynamic properties of network, and graph operation and product are an effective mechanism to construct a specific local and global topological structure. In this study, a class of weighted ‐clique annex operation controlled by scale factor and weight factor is defined, through which an iterative weighted network model with small‐world and scale‐free properties is constructed. In particular, when the number of iterations tends to infinity, the network has transfinite fractal property. Then, through the iterative features of the network structure, the iterative relationship of the eigenvalues of the normalized Laplacian matrix corresponding to the network is studied. Accordingly, some applications of the spectrum of the network, including the Kenemy constant , Multiplicative Degree‐Kirchhoff index , and the number of weighted spanning trees , are further given. In addition, we also study the effect of the two factors controlling network operation on the structure and function of the iterative weighted network , so that the network operation can better simulate the real network and have more application potential in the field of artificial network.

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Analysis of the Stability and Optimal Control Strategy for an ISCR Rumor Propagation Model with Saturated Incidence and Time Delay on a Scale-Free Network

Yue

Huo

2022

Mathematics

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The spread of rumors in the era of new media poses a serious challenge to sustaining social order. Models regarding rumor propagation should be proposed in order to prevent them. Taking the cooling-off period into account in this paper, a modified ISCR model with saturated incidence and time delay on a scale-free network is introduced. The basic reproduction number R0, which does not depend on time delay τ, is given by simple calculation. The stability of the rumor-free and rumor-endemic equilibrium points is proved by constructing proper Lyapunov functions. The study of the ISCR rumor-spreading process acquires an understanding of the impact of many factors on the prevalence of rumors. Then, the optimal control strategy for restraining rumors is studied. Numerous sensitivity studies and numerical simulations are carried out. Based on the saturated incidence and time delay, results indicate that the effect of time delay plays a significant part in rumor propagation on a scale-free network.

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Global stability and control strategies of a SIQRS epidemic model with time delay

Cited by 4 publications

References 62 publications

Existence of Traveling Waves of a Diffusive Susceptible–Infected–Symptomatic–Recovered Epidemic Model with Temporal Delay

Existence of Traveling Waves of a Diffusive Susceptible–Infected–Symptomatic–Recovered Epidemic Model with Temporal Delay

Spectral analysis and its applications for a class of scale‐free network based on the weighted m‐clique annex operation

Analysis of the Stability and Optimal Control Strategy for an ISCR Rumor Propagation Model with Saturated Incidence and Time Delay on a Scale-Free Network

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