Analysis of a stochastic SEIS epidemic model with the standard Brownian motion and Lévy jump

Hama, Mudhafar; Rasul, Rando R. Q.; Hammouch, Zakia; Rasul, Kawa A.H.; Danane, Jaouad

doi:10.1016/j.rinp.2022.105477

Cited by 7 publications

(1 citation statement)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section, numerical simulations will be conducted to verify the proposed theoretical results. To this end, we will apply the Euler numerical approximation method [39,40] to calculate Eq (2). By assumption (A) and the constraints on c i > 0(i = 1, � � �, 5) in Theorem 4.1, we provide the following parameters for numerical simulation: L ¼ 0:01; b 1 ¼ 1:58; b 2 ¼ 1:95; s ¼ 0:56; o ¼ 0:2; a ¼ 0:19; g 1 ¼ 0:65; g 2 ¼ 0:83; m 1 ¼ 0:052; m 2 ¼ 0:028; r 1 ¼ 0:92; r 2 ¼ 0:89; a 2 ¼ 0:35; at this time, the disease-free equilibrium is P 0 = (0.0103, 0, 0.01, 0.0127, 0, 0, 0.1592).…”

Section: Numerical Simulationsmentioning

confidence: 99%

Stochastic dynamical analysis for the complex infectious disease model driven by multisource noises

Jian,

Bai,

2024

PLoS ONE

View full text Add to dashboard Cite

This paper mainly studies the dynamical behavior of the infectious disease model affected by white noise and Lévy noise. First, a stochastic model of infectious disease with secondary vaccination affected by noises is established. Besides, the existence and uniqueness of the global positive solution for the stochastic model are proved based on stochastic differential equations and Lyapunov function, then the asymptotic behavior of the disease-free equilibrium point is studied. Moreover, the sufficient conditions for the extinction of the disease are obtained and the analysis showed that different noise intensity could affect the extinction of infectious disease on different degree. Finally, the theoretical results are verified by numerical simulation and some suggestions have been put forward on how to prevent the spread of diseases are presented.

show abstract

Section: Numerical Simulationsmentioning

confidence: 99%

Stochastic dynamical analysis for the complex infectious disease model driven by multisource noises

Jian,

Bai,

2024

PLoS ONE

View full text Add to dashboard Cite

show abstract

Effect of Fear, Treatment, and Hunting Cooperation on an Eco-Epidemiological Model: Memory Effect in Terms of Fractional Derivative

Ghosh

Thirthar

Mondal

et al. 2022

Iran J Sci Technol Trans Sci

View full text Add to dashboard Cite

Analysis of Stochastic COVID-19 and Hepatitis B Co-infection Model with Brownian and Lévy Noise

Pobbi,

Moore

2024

Preprint

View full text Add to dashboard Cite

In this article, we formulate and analyze a mathematical model for the coinfection of HBV and COVID-19 that incorporates the effects of Brownian and Lévi noise. We studied the dynamics and effects of these diseases in a given population. First, we establish the basic reproduction number of the disease-free equilibrium point of the stochastic model by means of a suitable Lyapunov function. Additionally, we provided sufficient conditions for the stability of the model around the disease-free equilibrium points. Finally, using a few simulation studies, we demonstrate our theoretical results. In particularly, we derived threshold values for HBV only, COVID-19 only,, and co-infectionfor the stochastic model around disease-free equilibrium point. Next, the conditions for stability in the stochastic sense for HBV only, COVID-19 only submodels, and the full model are established. Furthermore, we devote our concentrated attention to sufficient conditions for extinction and persistence using each of these reproductive numbers. Finally, by using the Euler–Murayama scheme, we demonstrate the dynamics of the coinfection by means of numerical simulations.

show abstract

Analysis of a stochastic SEIS epidemic model with the standard Brownian motion and Lévy jump

Cited by 7 publications

References 30 publications

Stochastic dynamical analysis for the complex infectious disease model driven by multisource noises

Stochastic dynamical analysis for the complex infectious disease model driven by multisource noises

Effect of Fear, Treatment, and Hunting Cooperation on an Eco-Epidemiological Model: Memory Effect in Terms of Fractional Derivative

Analysis of Stochastic COVID-19 and Hepatitis B Co-infection Model with Brownian and Lévy Noise

Contact Info

Product

Resources

About