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Dynamics of simplicial SEIRS epidemic model: global asymptotic stability and neural Lyapunov functions
The transmission of infectious diseases on a particular network is ubiquitous in the physical world. Here, we investigate the transmission mechanism...
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SEIRS epidemic model with Caputo–Fabrizio fractional derivative and time delay: dynamical analysis and simulation
SEIRS epidemic model with Caputo–Fabrizio fractional derivative, a general incidence rate, and the time delay is considered. The main target of this...
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Dynamical Behaviors and Optimal Control Problem of An SEIRS Epidemic Model with Interventions
In this paper, an SEIRS epidemic model is proposed, incorporating appropriate compartments as isolated exposed class and diagnosed class, relevant to...
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A fractional SEIRS model with disease resistance and nonlinear generalized incidence rate in Caputo–Fabrizio sense
ln this paper, we extend the classical SEIRS model within the framework of the fractional model in the sense of Caputo–Fabrizio derivative modified...
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A Novel Analysis Approach of Uniform Persistence for an Epidemic Model with Quarantine and Standard Incidence Rate
Inspired by the transmission characteristics of the Coronavirus disease 2019 (COVID-19), an epidemic model with quarantine and standard incidence...
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Discrete epidemic models with two time scales
The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease...
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Pattern Formation in Epidemic Model with Media Coverage
In this article, a spatial epidemic model with media coverage is studied. By both mathematical analysis and numerical simulation, we found that there...
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Diffusion-induced Spatio-temporal Oscillations in an Epidemic Model with Two Delays
We investigate a diffusive, stage-structured epidemic model with the maturation delay and freely-moving delay. Choosing delays and diffusive rates as...
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Ergodicity and stationary distribution of a stochastic SIRI epidemic model with logistic birth and saturated incidence rate
The present study aims to investigate the dynamic behavior of a stochastic SIRI model with logistic birth and saturated incidence rate. First, we...
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On the Duration of an Epidemic
A stochastic SIR (Susceptible, Infected, Recovered) model for the spread of a non-lethal disease is considered. The size of the population is...
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Dynamical Behavior and Numerical Simulation of an Influenza A Epidemic Model with Log-Normal Ornstein–Uhlenbeck Process
Influenza remains one of the most widespread epidemics, characterized by serious pathogenicity and high lethality, posing a significant threat to...
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An epidemic model with transport-related infection incorporating awareness and screening
In this paper, an
SWEIQR epidemic model with transport-related infection is proposed. The model considers inter-patch travel with entry-departure...
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A survey on Lyapunov functions for epidemic compartmental models
In this survey, we propose an overview on Lyapunov functions for a variety of compartmental models in epidemiology. We exhibit the most widely...
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Studies on the basic reproduction number in stochastic epidemic models with random perturbations
In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction...
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Global Asymptotic Stability of a Hybrid Differential–Difference System Describing SIR and SIS Epidemic Models with a Protection Phase and a Nonlinear Force of Infection
We study the local and global asymptotic stability of the two steady-states, disease-free and endemic, of hybrid differential–difference SIR and SIS...
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An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model
This work applies a novel geometric criterion for nonlinear autonomous differential equations developed by Lu and Lu (NARWA 36:20–43, 2017) to a...
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Fractional order SIR epidemic model with Beddington–De Angelis incidence and Holling type II treatment rate for COVID-19
In this paper, an attempt has been made to study and investigate a non-linear, non-integer SIR epidemic model for COVID-19 by incorporating...
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Parameter identification for a stochastic SEIRS epidemic model: case study influenza
A recent parameter identification technique, the local lagged adapted generalized method of moments, is used to identify the time-dependent disease...
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On the exact reproduction number in SIS epidemic models with vertical transmission
This paper proposes a bi-variate competition process to describe the spread of epidemics of SIS type through both horizontal and vertical...
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Transmission Dynamics of a High Dimensional Rabies Epidemic Model in a Markovian Random Environment
This paper develops the spread dynamics of a 11-dimensional stochastic multi-host zoonotic model for the dog-CFB-human transmission of rabies, which...
