Results 51 to 60 of about 1,109 (159)

Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is concerned with the qualitative analysis of a diffusion SIR epidemic model with networked delay and nonlinear incidence rate. First, we prove the existence and uniqueness of the model by using the method of upper and lower solutions. Then, we prove that the trivial equilibrium (0, 0) is unstable; the disease‐free equilibrium (N, 0) is ...
Xiangyu Tang, Yujuan Chen, Mengxin Chen
wiley   +1 more source

Optimal control and bifurcation analysis of SEIHR model for COVID-19 with vaccination strategies and mask efficiency

Computational and Mathematical Biophysics
In this article, we present a susceptible, exposed, infected, hospitalized and recovered compartmental model for COVID-19 with vaccination strategies and mask efficiency. Initially, we established the positivity and boundedness of the solutions to ensure
Muthu Poosan Moopanar, Kumar Anagandula Praveen   +1 more
doaj   +1 more source

Multitype randomized Reed--Frost epidemics and epidemics upon random graphs [PDF]

Annals of Applied Probability 2006, Vol. 16, No. 3, 1166-1189, 2006
We consider a multitype epidemic model which is a natural extension of the randomized Reed--Frost epidemic model. The main result is the derivation of an asymptotic Gaussian limit theorem for the final size of the epidemic. The method of proof is simpler, and more direct, than is used for similar results elsewhere in the epidemics literature.
arxiv   +1 more source

Estimating the reproduction number and designing the integrated strategies against dengue

Results in Physics, 2021
Dengue poses social and economic burden in the world. Around 390 million cases have been identified with 96 millions showing clinical symptoms. Vector control methods have been widely used as strategies against dengue.
Meksianis Z. Ndii, Nursanti Anggriani, Jakobis J. Messakh, Bertha S. Djahi   +3 more
doaj  

Parameter estimation of stochastic SIR model driven by small Lévy noise with time-dependent periodic transmission [PDF]

arXiv, 2023
We investigate the parameter estimation and prediction of two forms of the stochastic SIR model driven by small L\'{e}vy noise with time-dependent periodic transmission. We present consistency and rate of convergence results for the least-squares estimators. We include simulation studies using the method of projected gradient descent.
arxiv  

A vaccination model for COVID-19 in Gauteng, South Africa

Infectious Disease Modelling, 2022
The COVID-19 pandemic provides an opportunity to explore the impact of government mandates on movement restrictions and non-pharmaceutical interventions on a novel infection, and we investigate these strategies in early-stage outbreak dynamics.
Christina J. Edholm, Benjamin Levy, Lee Spence, Folashade B. Agusto, Faraimunashe Chirove, C. Williams Chukwu, David Goldsman, Moatlhodi Kgosimore, Innocent Maposa, K.A. Jane White, Suzanne Lenhart   +10 more
doaj  

Compartmental modeling approach for prediction of unreported cases of COVID-19 with awareness through effective testing program

Computational and Mathematical Biophysics
The objective of this article is to study the compartmental modeling approach for the prediction of unreported cases of coronavirus disease 2019 by considering six compartments.
Singh Abhishekh, Rana Vikash, Verma Vijai Shanker   +2 more
doaj   +1 more source

Multiple Equilibria for an SIRS Epidemiological System [PDF]

arXiv, 2001
An SIRS type model of disease transmission in an open environment is discussed. We use the Poincar\'{e} index together with a perturbation method to show that the endemic proportions need not be unique.
arxiv  

Understanding biofilm--phage interactions in cystic fibrosis patients using mathematical frameworks

Computational and Mathematical Biophysics
When planktonic bacteria adhere together to a surface, they begin to form biofilms, communities of bacteria. Biofilm formation in a host can be extremely problematic if left untreated, especially since antibiotics can be ineffective in treating the ...
Emerenini Blessing O., Hartung Doris, Reyes Grimaldo Ricardo N. G., Canner Claire, Williams Maya, Agyingi Ephraim, Osgood Robert   +6 more
doaj   +1 more source

Global stability for SIR and SIRS models with differential mortality [PDF]

arXiv, 2011
We consider SIR and SIRS models with differential mortality.
arxiv