[HTML][HTML] Stability analysis of equilibrium point and limit cycle of two-dimensional nonlinear dynamical systems—a tutorial

B Wei - Applied Sciences, 2023 - mdpi.com
The equilibrium state of a dynamical system can be divided into the equilibrium point and
limit cycle. In this paper, the stability analysis of the equilibrium point and limit cycle of …

[HTML][HTML] Global dynamics of a SEI epidemic model with immigration and generalized nonlinear incidence functional

ZA Khan, AL Alaoui, A Zeb, M Tilioua, S Djilali - Results in Physics, 2021 - Elsevier
In this paper, the global dynamics of an SEI epidemic model with constant immigration and
general nonlinear incidence function is investigated. It is shown that there is neither a …

Assessing the effect of migration and immigration rates on the transmission dynamics of infectious diseases

MC Gómez, EI Mondragón, CAR Bernate - Journal of Applied …, 2023 - Springer
This paper explores the effect of immigration in a generalized model that considers
susceptibles, infected, chronic carriers, and recovered, the incidence rate is considered as a …

Global analysis for a modified SEIR model with general non-linear incidence function

Y Mohamed, A Ahmedou, MSB Elemine Vall - Nonlinear Dynamics, 2024 - Springer
In this paper we study a modified SEIR model with general incidence function of the form f
(s)[g (I 1)+ h (I 2)] where I 1 and I 2 are two infection categories different and the migration is …

[PDF][PDF] Mathematical model of a SCIR epidemic system with migration and nonlinear incidence function

MC Gómez, EI Mondragon, FA Rubio - J. Math. Computer Sci, 2023 - researchgate.net
In this paper, we proposed a generalization for a model that considers Susceptible, Infected,
Carrier, and Recovered by introducing a general incidence rate and considering migration …

[HTML][HTML] Analysis of COVID-19's Dynamic Behavior Using a Modified SIR Model Characterized by a Nonlinear Function

F Habott, A Ahmedou, Y Mohamed, MA Sambe - Symmetry, 2024 - mdpi.com
This study develops a modified SIR model (Susceptible–Infected–Recovered) to analyze the
dynamics of the COVID-19 pandemic. In this model, infected individuals are categorized into …

Global stability analysis for a SEI model with nonlinear incidence rate and asymptomatic infectious state

MC Gómez, EI Mondragon - Applied Mathematics and Computation, 2021 - Elsevier
In this paper, we propose a generalized SEI epidemic model with a general nonlinear
incidence rate and death rate functions. Furthermore, we consider that those who spread the …

[PDF][PDF] Control and elimination in an SEIR model for the disease dynamics of COVID-19 with vaccination

PJ Witbooi, SM Vyambwera, MU Nsuami - AIMS Mathematics, 2023 - aimspress.com
COVID-19 has become a serious pandemic affecting many countries around the world since
it was discovered in 2019. In this research, we present a compartmental model in ordinary …

Global dynamics and bifurcations of Filippov SIR epidemic model with general nonlinear transmission and discontinuous control

W Li, G Li, J Cao, L Huang - 2023 - researchsquare.com
This paper investigates the global dynamic behavior and bifurcations of a classical
nonlinear transmission SIR epidemic model with discontinuous threshold strategy. Different …

Nsuami Mozart Umba. Control and elimination in an SEIR model for the disease dynamics of COVID-19 with vaccination

WP Joseph, VS Maku - JOURNAL OF MECHANICAL ENGINEERING - base.xml-journal.net
COVID-19 has become a serious pandemic affecting many countries around the world since
it was discovered in 2019. In this research, we present a compartmental model in ordinary …