Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic
Discrete Dynamics in Nature and Society
; 2022, 2022.
Article
in English
| ProQuest Central | ID: covidwho-1807672
ABSTRACT
This work explores Routh–Hurwitz stability and complex dynamics in models for awareness programs to mitigate the spread of epidemics. Here, the investigated models are the integer-order model for awareness programs and their corresponding fractional form. A non-negative solution is shown to exist inside the globally attracting set (GAS) of the fractional model. It is also shown that the diseasefree steady state is locally asymptotically stable (LAS) given that R0 is less than one, where R0 is the basic reproduction number. However, as R0>1, an endemic steady state is created whose stability analysis is studied according to the extended fractional Routh–Hurwitz scheme, as the order lies in the interval (0,2]. Furthermore, the proposed awareness program models are numerically simulated based on the predictor-corrector algorithm and some clinical data of the COVID-19 pandemic in KSA. Besides, the model’s basic reproduction number in KSA is calculated using the selected data R0=1.977828168. In conclusion, the findings indicate the effectiveness of fractional-order calculus to simulate, predict, and control the spread of epidemiological diseases.
Environmental Studies; Infections; Infectious diseases; Population; COVID-19 vaccines; Applications programs; Mathematical models; Severe acute respiratory syndrome coronavirus 2; Disease control; Dynamic stability; Pandemics; Epidemics; Steady state; Mathematical functions; Predictor-corrector methods; Algorithms; Stability analysis; Acquired immune deficiency syndrome--AIDS; Coronaviruses; Ordinary differential equations; Plant diseases; Disease transmission; China
Full text:
Available
Collection:
Databases of international organizations
Database:
ProQuest Central
Language:
English
Journal:
Discrete Dynamics in Nature and Society
Year:
2022
Document Type:
Article
Similar
MEDLINE
...
LILACS
LIS