Global properties of a class of HIV infection models with Beddington–DeAngelis functional response

AM Elaiw, SA Azoz - Mathematical Methods in the Applied …, 2013 - Wiley Online Library
In this paper, the global properties of a class of human immunodeficiency virus (HIV) models
with Beddington–DeAngelis functional response are investigated. Lyapunov functions are …

Global stability analysis of a two-strain epidemic model with non-monotone incidence rates

A Meskaf, O Khyar, J Danane, K Allali - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, we study an epidemic model describing two strains with non-monotone
incidence rates. The model consists of six ordinary differential equations illustrating the …

Fractional model of smoking with relapse and harmonic mean type incidence rate under Caputo operator

Q Haidong, MU Rahman, M Arfan - Journal of Applied Mathematics and …, 2023 - Springer
In this manuscript, we have analyzed a new time non-integer order smoking model endowed
with Caputo fractional type derivative operator. The model is composed of four …

Global properties of a delayed HIV infection model with CTL immune response

X Wang, A Elaiw, X Song - Applied Mathematics and Computation, 2012 - Elsevier
In this paper, we study a delayed six-dimensional human immunodeficiency virus (HIV)
model with Cytotoxic T Lymphocytes (CTLs) immune response. Our model describes the …

Study of a Fractal‐Fractional Smoking Models with Relapse and Harmonic Mean Type Incidence Rate

ZA Khan, M Rahman, K Shah - Journal of Function Spaces, 2021 - Wiley Online Library
This manuscript investigates fractal‐fractional order smoking models with relapse and
harmonic mean type incidence rate under the Caputo derivative. We derive the existence …

[HTML][HTML] On the dynamics of a class of multi-group models for vector-borne diseases

A Iggidr, G Sallet, MO Souza - Journal of Mathematical Analysis and …, 2016 - Elsevier
The resurgence of vector-borne diseases is an increasing public health concern, and there
is a need for a better understanding of their dynamics. For a number of diseases, eg dengue …

Influence of relapse in a giving up smoking model

HF Huo, CC Zhu - Abstract and Applied Analysis, 2013 - Wiley Online Library
Smoking subject is an interesting area to study. The aim of this paper is to derive and
analyze a model taking into account light smokers compartment, recovery compartment, and …

[PDF][PDF] Analysis of a HCV model with CTL and antibody responses

N Yousfi, K Hattaf, M Rachik - Applied Mathematical Sciences, 2009 - m-hikari.com
In this paper, we present the global analysis of a HCV model with CTL and Antibody
Responses. We prove that the solutions with positive initial values are all positive, bounded …

A multi-strain virus model with infected cell age structure: Application to HIV

CJ Browne - Nonlinear Analysis: Real World Applications, 2015 - Elsevier
A general mathematical model of a within-host viral infection with n virus strains and explicit
age-since-infection structure for infected cells is considered. In the model, multiple virus …

[HTML][HTML] Modeling within-host viral dynamics: The role of CTL immune responses in the evolution of drug resistance

Q Deng, Z Qiu, T Guo, L Rong - Discrete and Continuous …, 2021 - aimsciences.org
Modeling within-host viral dynamics: The role of CTL immune responses in the evolution of
drug resistance AIMS share this content in Facebook share this content in Twitter share this …