Results 61 to 70 of about 1,011 (133)

Stochastic epidemic SEIRS models with a constant latency period

, 2017
In this paper we consider the stability of a class of deterministic and stochastic SEIRS epidemic models with delay. Indeed, we assume that the transmission rate could be stochastic and the presence of a latency period of $r$ consecutive days, where $r ...
Bardina, Xavier, Ferrante, Marco, Rovira, Carles   +2 more
core   +1 more source

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

Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity

Computational and Mathematical Biophysics, 2021
A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration.
Caga-anan Randy L., Raza Michelle N., Labrador Grace Shelda G., Metillo Ephrime B., Castillo Pierre del, Mammeri Youcef   +5 more
doaj   +1 more source

Curtailing the spread of drug-abuse and violence co-menace: An optimal control approach

Alexandria Engineering Journal, 2022
This work presents an optimal control of intervention strategies for a drug abuse and violence co-menace model considering a mass campaign against drug abuse, a mass campaign against violence, effective policing and rehabilitation of drug-abusing and ...
Abdulfatai Atte Momoh, Abdullahi Alhassan, M.O. Ibrahim, S.A. Amoo   +3 more
doaj   +1 more source

Global Stability for an SEIR Epidemiological Model with Varying Infectivity and Infinite Delay [PDF]

, 2009
A recent paper (Math. Biosci. and Eng. (2008) 5:389-402) presented an SEIR model using an infinite delay to account for varying infectivity. The analysis in that paper did not resolve the global dynamics for R0 \u3e 1.
McCluskey, C. Connell
core   +2 more sources

Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme

Computational and Mathematical Biophysics
This study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates.
Nnaji Daniel Ugochukwu, Kiogora Phineas Roy, Onah Ifeanyi Sunday, Mung’atu Joseph, Aguegboh Nnaemeka Stanley   +4 more
doaj   +1 more source

Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies

, 2005
In previous work, empirical evidence indicated that a time-varying network could propagate sufficient information to allow synchronization of the sometimes coupled oscillators, despite an instantaneously disconnected topology.
Afra movich V., D. Gray Roberson, Daniel J. Stilwell, Erik M. Bollt, Glass Leon, Guevara M. R., Jost J., Netoff T. I., Sansone G.   +8 more
core   +2 more sources

Effect of awareness and saturated treatment on the transmission of infectious diseases

Computational and Mathematical Biophysics
In this article, we study the role of awareness and its impact on the control of infectious diseases. We analyze a susceptible-infected-recovered model with a media awareness compartment. We find the effective reproduction number R0{R}_{0}.
Pandey Aditya, Bhadauria Archana Singh, Verma Vijai Shanker, Pathak Rachana   +3 more
doaj   +1 more source

Time to Extinction in Branching Processes and its Application in Epidemiology [PDF]

, 2013
2010 Mathematics Subject Classification: Primary 60J80; Secondary 92D30.The contemporary state of the theory of branching processes implies their application to any abstract population where individuals produce a set of new individuals.
Slavtchova-Bojkova, M.
core  

Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis [PDF]

, 2014
An adaptive network model using SIS epidemic propagation with link-type-dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochastic simulation is carried out, showing that ...
A Szabó, András Szabó-Solticzky, D Juher, DM Halliday, DT Gillespie, DT Gillespie, G Demirel, H Sayama, Istvan Z. Kiss, IZ Kiss, J Zhou, KTD Eames, LB Shaw, Luc Berthouze, M Taylor, MJ Keeling, N Dmitriev, PL Simon, Péter L. Simon, T Gross, T Gross, T Gross, T House, T Rogers, V Marceau   +24 more
core   +2 more sources