Zobrazeno 1 - 10
of 76
pro vyhledávání: '"92D25, 92D30"'
Edge-based network models, especially those based on bond percolation methods, can be used to model disease transmission on complex networks and accommodate social heterogeneity while keeping tractability. Here we present an application of an edge-ba
Externí odkaz:
http://arxiv.org/abs/2410.13024
This study examines the behavior of solutions in a multi-patch epidemic model that includes a saturation incidence mechanism. When the fatality rate due to the disease is not null, our findings show that the solutions of the model tend to stabilize a
Externí odkaz:
http://arxiv.org/abs/2409.11443
Autor:
Wang, Qi
In this paper, we consider a reaction-diffusion-advection SIS epidemic model with saturated incidence rate and linear source. We study the uniform bounds of parabolic system and some asymptotic behavior of the basic reproduction number $\mathcal{R}_0
Externí odkaz:
http://arxiv.org/abs/2406.17201
Mathematical Epidemiology (ME) shares with Chemical Reaction Network Theory (CRNT) the basic mathematical structure of its dynamical systems. Despite this central similarity, methods from CRNT have been seldom applied to solving problems in ME. We ex
Externí odkaz:
http://arxiv.org/abs/2405.14576
Autor:
Zhao, S., Magpantay, F. M. G.
Edge-based percolation methods can be used to analyze disease transmission on complex social networks. This allows us to include complex social heterogeneity in our models while maintaining tractability. Here we review the seminal works on this field
Externí odkaz:
http://arxiv.org/abs/2401.06872
Publikováno v:
Mathematical Biosciences and Engineering 2024, Volume 21, Issue 4: 5360-5393
In this paper, we introduce a general numerical method to approximate the reproduction numbers of a large class of multi-group, age-structured, population models with a finite age span. To provide complete flexibility in the definition of the birth a
Externí odkaz:
http://arxiv.org/abs/2312.13477
The review is devoted to analysis of mathematical models used for describing epidemic processes. A main focus is done on the models that are based on partial differential equations (PDEs), especially those that were developed and used for the COVID-1
Externí odkaz:
http://arxiv.org/abs/2311.02652
The sterile insect technique (SIT) is a technique to control pests and vectors of diseases by releasing mainly sterile males. Several challenges need to be solved before large-scale field application in order to guarantee its success. In this paper w
Externí odkaz:
http://arxiv.org/abs/2310.13591
The goal of this work is to understand and quantify how a line with nonlocal diffusion given by an integral enhances a reaction-diffusion process occurring in the surrounding plane. This is part of a long term programme where we aim at modelling, in
Externí odkaz:
http://arxiv.org/abs/2309.08298
Publikováno v:
Adv. Appl. Probab. 56 (2024) 495-544
Motivated by applications to COVID dynamics, we describe a branching process in random environments model $\{Z_n\}$ whose characteristics change when crossing upper and lower thresholds. This introduces a cyclical path behavior involving periods of i
Externí odkaz:
http://arxiv.org/abs/2207.02287