Article

Analysis on a Spatial SIS Epidemic Model with Saturated Incidence Function in Advective Environments: I. Conserved Total Population

2023-12-08

Abstract excerpt

.This paper concerns the qualitative analysis on a reaction-diffusion SIS (susceptible-infected-susceptible) epidemic model governed by the saturated incidence infection mechanism in advective environments. A variational expression of the basic reproduction number \(\mathcal{R}_0\) was derived and the global dynamics of the system in terms of \(\mathcal{R}_0\) was established: the disease-free equilibrium is uniqu...

Topics

Open a Topic to create a Post that cites this publication.

Identifiers and source

Literature Corpus work: 32e9a73d-67f1-5ea4-acb3-814ee83b20b4
DOI: 10.1137/22m1534699

Open publication

Related research

Semantic proximity does not establish scientific evidence.

Click a neighbor to travelStep 1 · 12 closest

Analysis on a Spatial SIS Epidemic Model with Saturated Incidence Function in Advective Environments: I. Conserved Total PopulationDOI 10.1137/22m1534699Read

Competition-exclusion and coexistence in a two-strain SIS epidemic model in patchy environmentsSemantic proximity Read

Epidemic propagation dynamics of an SIS model on networks with population mobility between regionsSemantic proximity Read

Traveling waves for a nonlocal dispersal SIR epidemic model with the mass action infection mechanismSemantic proximity Read

A viral co-infection model with general infection rate in deterministic and stochastic environmentsSemantic proximity Read

A stochastic SIHR epidemic model with general population-size dependent contact rate and Ornstein-Uhlenbeck process dynamics analysisSemantic proximity Read

Global dynamics and bifurcation analysis of a fractional-order SEIR epidemic model with saturation incidence rateSemantic proximity Read

Global analysis for a modified SEIR model with general non-linear incidence functionSemantic proximity Read

Global stability in an SIRS model with zoonotic transmission, nonlinear incidence rate and temporary immunitySemantic proximity Read

SIR Epidemics in Interconnected Networks: threshold curve and phase transitionSemantic proximity Read

Fractional SEIRP model for COVID-19 dynamics incorporatingsocial distancing and environmentSemantic proximity Read

Addressing population heterogeneity and distribution in epidemics models using a cellular automata approachSemantic proximity Read

Analysis of a Deterministic SIR Model with Numerical Simulations for Infectious Disease DynamicsSemantic proximity Read