Results 51 to 60 of about 492 (132)

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

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

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

Modelling and simulating Chikungunya spread with an unstructured triangular cellular automata

Infectious Disease Modelling, 2020
In this work we propose a mathematical model to simulate Chikungunya spread; the spread model is implemented in a C++ cellular automata code defined on unstructured triangular grids and space visualizations are performed with Python. In order to simulate
Gerardo Ortigoza, Fred Brauer, Iris Neri
doaj   +1 more source

Assessing the impact of information-induced self-protection on Zika transmission: A mathematical modeling approach

Computational and Mathematical Biophysics
As per the World Health Organization’s (WHO’s) suggestions, personal protection via adopting precautionary measures is one of the most effective control aspects to avoid Zika infection in the absence of suitable medical treatment.
Manisha, Nidhi, Kumar Anuj
doaj   +1 more source

Mathematical modelling of COVID-19 dynamics using SVEAIQHR model

Computational and Mathematical Biophysics
In this study, we formulate an eight-compartment mathematical model with vaccination as one of the compartments to analyze the dynamics of COVID-19 transmission.
Venkatesh Ambalarajan, Rao Mallela Ankamma, Raj Murugadoss Prakash, Kumar Karuppusamy Arun, Vamsi D. K. K.   +4 more
doaj   +1 more source

Analysis of a reaction–diffusion mosquito-borne model with chemotaxis: well-posedness and global dynamics

Advances in Nonlinear Analysis
In this paper, we construct and analyze a mosquito-borne disease model with chemotaxis in a homogeneous environment. Different from traditional modes that mosquitoes disperse with local diffusion, we correlate the chemotaxis of mosquitoes with the ...
Zhang Xiaotian, Wang Jinliang
doaj   +1 more source

Modelling the HIV persistence through the network of lymphocyte recirculation in vivo

Infectious Disease Modelling, 2017
Human Immunodeficiency Virus (HIV) is able to persist in cellular and/or anatomical viral reservoirs, despite the effective inhibition of virus replication by the antiretroviral therapy (ART). Here we develop a mathematical model to gain some insights of
Ying Huang, Chen Zhang, Jianhong Wu, Jie Lou   +3 more
doaj   +1 more source

Modelling the leadership role of police in controlling COVID-19

Computational and Mathematical Biophysics
During the recent Coronavirus disease (COVID-19) pandemic, different parts of the globe faced indefinite lockdowns. To maintain the lockdown measures, government authorities deployed security forces and police.
Singh Vikram, Kapoor Shikha, Gupta Sandeep kumar, Sharma Sandeep   +3 more
doaj   +1 more source