[HTML][HTML] Mathematical analysis of a new nonlinear dengue epidemic model via deterministic and fractional approach

Y Gu, M Khan, R Zarin, A Khan, A Yusuf… - Alexandria Engineering …, 2023 - Elsevier
We developed a dengue epidemic model by considering hospitalized class and harmonic
mean incidence rate. A qualitative study of the proposed model was conducted. The Basic …

[HTML][HTML] Controlling heroin addiction via age-structured modeling

A Din, Y Li - Advances in Difference Equations, 2020 - Springer
The aim of the present study is to consider a heroin epidemic model with age-structure only
in the active heroin users. The model was formulated with the help of available literature on …

Dynamical aspects of a delayed epidemic model with subdivision of susceptible population and control strategies

Z Zhang, G ur Rahman, JF Gómez-Aguilar… - Chaos, Solitons & …, 2022 - Elsevier
A delay epidemic model is developed, with the susceptible population divided into three
subclasses. In the main model, the well-known “Michaelis Menten Equation” is utilized to …

Mathematical analysis of giving up smoking model via harmonic mean type incidence rate

G ur Rahman, RP Agarwal, Q Din - Applied mathematics and computation, 2019 - Elsevier
This article deals with qualitative analysis of a smoking model and provides parametric
conditions for controlling diseases under the influence of smoking. The model is obtained by …

[HTML][HTML] A new fractal-fractional version of giving up smoking model: Application of Lagrangian piece-wise interpolation along with asymptotical stability

S Etemad, A Shikongo, KM Owolabi, B Tellab, İ Avcı… - Mathematics, 2022 - mdpi.com
In this paper, a new kind of mathematical modeling is studied by providing a five-
compartmental system of differential equations with respect to new hybrid generalized fractal …

System response of an alcoholism model under the effect of immigration via non-singular kernel derivative

F Evirgen, S Uçar, N Özdemir, Z Hammouch - 2021 - dspace.balikesir.edu.tr
In this study, we aim to comprehensively investigate a drinking model connected to
immigration in terms of Atangana-Baleanu derivative in Caputo type. To do this, we firstly …

Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking

X Li, RP Agarwal, JF Gómez-Aguilar, Q Badshah… - Chaos, Solitons & …, 2022 - Elsevier
In this study, a smoking and heroin co-abuse model is proposed for the first time in the
literature. To research the dynamics and impacts of smoking-heroin co-morbidity in the …

[PDF][PDF] Global stability of an age-structured epidemic model with general Lyapunov functional

A Chekroun, MN Frioui, T Kuniya… - Math. Biosci. Eng, 2019 - researchgate.net
In this paper, we focus on the study of the dynamics of a certain age structured epidemic
model. Our aim is to investigate the proposed model, which is based on the classical SIR …

Global dynamics and optimal control of an age-structure Malaria transmission model with vaccination and relapse

SF Wang, L Hu, LF Nie - Chaos, Solitons & Fractals, 2021 - Elsevier
Malaria is a typical mosquito borne disease and one of the oldest human diseases, which is
still one of the most serious threats to public health. In the process of prevention and control …

[HTML][HTML] Dynamical analysis of a giving up smoking model with time delay

Z Zhang, R Wei, W Xia - Advances in Difference Equations, 2019 - Springer
In this paper, we are concerned with a delayed smoking model in which the population is
divided into five classes. Sufficient conditions guaranteeing the local stability and existence …