Article

A Comparative Study of Three Mathematical Models for the Interaction between the Human Immune System and a Virus

2022-07-19

Abstract excerpt

In this paper it will be considered three deterministic models for the study of the interaction between the human immune system and a virus: the logistic model, the Gompertz model, and the generalized logistic model (or Richards model). A qualitative analysis of this models based on dynamical systems theory will be performed, by studying the local behavior of the equilibria and obtaining local dynamics properties...

Topics

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

Identifiers and source

Literature Corpus work: 1eeeb128-39e6-55a0-bec2-7dbaf2e1cd06
DOI: 10.20944/preprints202207.0291.v1

Open publication

Related research

Semantic proximity does not establish scientific evidence.

Click a neighbor to travelStep 1 · 12 closest

A Comparative Study of Three Mathematical Models for the Interaction between the Human Immune System and a VirusDOI 10.20944/preprints202207.0291.v1Read

Mathematical model of the immune response to dengue virusSemantic proximity Read

A compartmental deterministic epidemiological model with non-linear differential equations for analyzing the co-infection dynamics between COVID-19, HIV, and Monkeypox diseasesSemantic proximity Read

Qualitative Analysis and Dynamical Behavior of a Lassa Haemorrhagic Fever Model with Exposed Rodents and Saturated Incidence RateSemantic proximity Read

A Study of a Deterministic Model for Meningitis EpidemicSemantic proximity Read

Mathematical modeling of hepatitis B virus infection incorporating immune responsesSemantic proximity Read

Modeling and Research on an Immuno-Epidemiological Coupled System with CoinfectionSemantic proximity Read

Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delaysSemantic proximity Read

Mathematical model analysis and numerical simulation of intervention strategies to reduce transmission and re-activation of hepatitis B diseaseSemantic proximity Read

A generalized ODE susceptible-infectious-susceptible compartmental model with potentially periodic behaviorSemantic proximity Read

A generalized fractional hepatitis B virus infection modelwith both cell-to-cell and virus-to-cell transmissionsSemantic proximity Read

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

Global dynamics of a general vector-borne disease model with two transmission routesSemantic proximity Read