Real life application of Caputo fractional derivative for measles epidemiological autonomous dynamical system

S Qureshi - Chaos, Solitons & Fractals, 2020 - Elsevier
Various infectious diseases primarily contain the characteristics of memory and non-locality.
Keeping this in view; we have, in the present paper, proposed a new epidemiological …

On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules

M De la Sen, S Alonso-Quesada, A Ibeas - Applied Mathematics and …, 2015 - Elsevier
This paper discusses and formulates a continuous-time SEIR-type epidemic model of
pseudo-mass action type with finitely distributed delays under a very general, potentially …

Effect of pulse vaccination on dynamics of dengue with periodic transmission functions

R Jan, Y Xiao - Advances in Difference Equations, 2019 - Springer
Pulse vaccination is a repeated vaccination policy, which plays a tremendous role in the
global fight against communicable diseases in terms of saving medical resources and …

On vaccination controls for the SEIR epidemic model

M De la Sen, A Ibeas, S Alonso-Quesada - Communications in Nonlinear …, 2012 - Elsevier
This paper presents a simple continuous-time linear vaccination-based control strategy for a
SEIR (susceptible plus infected plus infectious plus removed populations) disease …

On a New Epidemic Model with Asymptomatic and Dead‐Infective Subpopulations with Feedback Controls Useful for Ebola Disease

M De la Sen, A Ibeas… - Discrete dynamics in …, 2017 - Wiley Online Library
This paper studies the nonnegativity and local and global stability properties of the solutions
of a newly proposed SEIADR model which incorporates asymptomatic and dead‐infective …

Dynamical analysis of rumor spreading model with impulse vaccination and time delay

C Ma - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
Rumor cause unnecessary conflicts and confusion by misleading the cognition of the public,
its spreading has largely influence on human affairs. All kinds of rumors and people's …

An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems

S Alonso-Quesada, M De la Sen, RP Agarwal… - Advances in Difference …, 2012 - Springer
This paper presents a vaccination strategy for fighting against the propagation of epidemic
diseases. The disease propagation is described by an SEIR (susceptible plus infected plus …

On an SEIADR epidemic model with vaccination, treatment and dead-infectious corpses removal controls

M De la Sen, S Alonso-Quesada, A Ibeas… - … and Computers in …, 2019 - Elsevier
This paper studies the non-negativity and stability properties of the solutions of a newly
proposed SEIADR model with six subpopulations, namely, susceptible–exposed …

Game dynamic model of optimal budget allocation under individual vaccination choice

A Deka, S Bhattacharyya - Journal of Theoretical Biology, 2019 - Elsevier
Communicable diseases are leading cause of child mortality in developing and under-
developed countries. Public health ministries in states and country allocate a considerable …

On a new discrete SEIADR model with mixed controls: Study of its properties

R Nistal, M De la Sen, S Alonso-Quesada, A Ibeas - Mathematics, 2018 - mdpi.com
A new discrete SEIADR epidemic model is built based on previous continuous models. The
model considers two extra subpopulation, namely, asymptomatic and lying corpses on the …