Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

Zhu, Wei

doi:10.1016/j.matcom.2022.04.027

Cited by 6 publications

(10 citation statements)

References 27 publications

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“…The new thing is, some newborn children can catch HPV from their mothers [17]. Meanwhile, some people may get immune by taking a vaccine [18]. But sometimes, the vaccination will be invalid [19].…”

Section: Methods Theorymentioning

confidence: 99%

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Analysis of dynamic transmission of HPV with reproduction numbers R₀

2023

J. Phys.: Conf. Ser.

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In this paper, we discuss the patterns of the transmission of how the Human papillomavirus (HPV) spreads in the public. We analyze the behaviors of infectious disease in SIR, SEIR, and Multistrian models. In terms of this disease, HPV has many subtypes, some are high-risk, and some are low-risk. Unfortunately, many people in some areas are not aware of it. That will always cause many delays for the disease and aggravations. The harm caused by HPV is different for different groups of people, people will take various measures to handle the situation according to the severity. We divided them into 3 cases. That is case1-negative for people who may have caught HPV; case 2-negative people who may have caught HPV, but excluding exposures; case 3-negative for people who is sure to catch HPV. After that, by computing the disease-free equilibrium (DFE) to get the value for calculating reproduction number R 0 to estimate the stability for every case. Then the way of getting the derivatives and partitioned matrix and computing reproduction number with the measure of the Jacobian matrix were used for deciding the response for the epidemic eventually.

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Section: Methods Theorymentioning

confidence: 99%

“…To get access to the appropriate control methods, it is necessary to figure out a way to avoid an outbreak [22]. Thus, the first step is calculating for the Disease-Free-Equilibrium (DFE) to know the situation when the disease disappeared completely [18]. After that, A definition of the basic reproduction number R 0 will be introduced.…”

Section: Methods Theorymentioning

confidence: 99%

Analysis of dynamic transmission of HPV with reproduction numbers R₀

2023

J. Phys.: Conf. Ser.

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“…e mathematical modeling is a helpful device to concentrate on the procedure that how an irresistible infection can reach out into a population. e researchers are using fractional order [17,18] as well as integer order [19][20][21][22][23][24] mathematical models to discuss epidemic infectious diseases; however, mathematical models of integer order are among the most studied problems in the world.…”

Section: Introductionmentioning

confidence: 99%

“…e disparate kinds of recovery and incidence rates play a significant role to examine the dynamical behavior of epidemic disease models. Many researchers have used these saturated rates in their works [19][20][21][22][23][24][25][26][27][28][29][30]. For instance, the standard bilinear incidence rates βSI have been regularly utilized in epidemiological models [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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The Stability Analysis and Transmission Dynamics of the SIR Model with Nonlinear Recovery and Incidence Rates

Khan

Qasim

Koufi

et al. 2022

Mathematical Problems in Engineering

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In the present paper, the SIR model with nonlinear recovery and Monod type equation as incidence rates is proposed and analyzed. The expression for basic reproduction number is obtained which plays a main role in the stability of disease-free and endemic equilibria. The nonstandard finite difference (NSFD) scheme is constructed for the model and the denominator function is chosen such that the suggested scheme ensures solutions boundedness. It is shown that the NSFD scheme does not depend on the step size and gives better results in all respects. To prove the local stability of disease-free equilibrium point, the Jacobean method is used; however, Schur–Cohn conditions are applied to discuss the local stability of the endemic equilibrium point for the discrete NSFD scheme. The Enatsu criterion and Lyapunov function are employed to prove the global stability of disease-free and endemic equilibria. Numerical simulations are also presented to discuss the advantages of NSFD scheme as well as to strengthen the theoretical results. Numerical simulations specify that the NSFD scheme preserves the important properties of the continuous model. Consequently, they can produce estimates which are entirely according to the solutions of the model.

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An investigation of Susceptible–Exposed–Infectious–Recovered (SEIR) tuberculosis model dynamics with pseudo-recovery and psychological effect

Adi,

Suparman

2024

Healthcare Analytics

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Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

Cited by 6 publications

References 27 publications

Analysis of dynamic transmission of HPV with reproduction numbers R₀

Analysis of dynamic transmission of HPV with reproduction numbers R₀

The Stability Analysis and Transmission Dynamics of the SIR Model with Nonlinear Recovery and Incidence Rates

An investigation of Susceptible–Exposed–Infectious–Recovered (SEIR) tuberculosis model dynamics with pseudo-recovery and psychological effect

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Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

Cited by 6 publications

References 27 publications

Analysis of dynamic transmission of HPV with reproduction numbers R0

Analysis of dynamic transmission of HPV with reproduction numbers R0

The Stability Analysis and Transmission Dynamics of the SIR Model with Nonlinear Recovery and Incidence Rates

An investigation of Susceptible–Exposed–Infectious–Recovered (SEIR) tuberculosis model dynamics with pseudo-recovery and psychological effect

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Product

Resources

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Analysis of dynamic transmission of HPV with reproduction numbers R₀

Analysis of dynamic transmission of HPV with reproduction numbers R₀