[PDF][PDF] Dynamics of infectious diseases: A review of the main biological aspects and their mathematical translation
DY Trejos, JC Valverde, E Venturino - Applied Mathematics and …, 2022 - sciendo.com
In this paper, the main biological aspects of infectious diseases and their mathematical
translation for modeling their transmission dynamics are revised. In particular, some …
translation for modeling their transmission dynamics are revised. In particular, some …
Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative
In this paper, we present semi-analytical solution to Pine Wilt disease (PWD) model under
the Caputo–Fabrizio fractional derivative (CFFD). For the proposed solution, we utilize …
the Caputo–Fabrizio fractional derivative (CFFD). For the proposed solution, we utilize …
Volterra-type Lyapunov functions for fractional-order epidemic systems
C Vargas-De-León - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
In this paper we prove an elementary lemma which estimates fractional derivatives of
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …
[HTML][HTML] On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative
In this manuscript, we investigate epidemic model of dengue fever disease under Caputo
and Fabrizio fractional derivative abbreviated as (CFFD). The respective investigation is …
and Fabrizio fractional derivative abbreviated as (CFFD). The respective investigation is …
An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment
In this paper, a general formulation for the SIRV epidemiological model is presented as a
system of fractional order derivatives with respect to time to characterize some infectious …
system of fractional order derivatives with respect to time to characterize some infectious …
[HTML][HTML] Analysis of a fractional SEIR model with treatment
R Almeida - Applied Mathematics Letters, 2018 - Elsevier
In this paper we focus on models consisting of fractional differential equations to describe
the dynamics of certain epidemics. The population is divided into susceptible, exposed …
the dynamics of certain epidemics. The population is divided into susceptible, exposed …
[HTML][HTML] Analysis and dynamics of fractional order Covid-19 model with memory effect
The present article attempts to examine fractional order Covid-19 model by employing an
efficient and powerful analytical scheme termed as q-homotopy analysis Sumudu transform …
efficient and powerful analytical scheme termed as q-homotopy analysis Sumudu transform …
Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative
In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a
biological model of smoking type. By using Sumudu transform and Picard successive …
biological model of smoking type. By using Sumudu transform and Picard successive …
The impact of media awareness on a fractional-order SEIR epidemic model with optimal treatment and vaccination
During any pandemic, to decrease the spreading possibility of infectious diseases to people,
boosting public awareness is crucial. Media helps to boost this awareness. This paper aims …
boosting public awareness is crucial. Media helps to boost this awareness. This paper aims …
Transmission dynamics of monkeypox virus with treatment and vaccination controls: A fractional order mathematical approach
Presently, monkeypox virus infection has spread worldwide in the ongoing outbreak that
began in the UK. To study the transmission dynamics of monkeypox, we formulate here a …
began in the UK. To study the transmission dynamics of monkeypox, we formulate here a …