Investigation of fractional order bacteria dependent disease with the effects of different contact rates

Haidong Qu, Mati ur Rahman, Shabir Ahmad, Muhammad Bilal Riaz, Muhammaad Ibrahim and Tareq Saeed

Chaos, Solitons & Fractals, 2022, vol. 159, issue C

Abstract: Bacterial-dependent diseases are the most deadly infections which may lead a patient to death. Nowadays, due to memory and nonlocality, fractional calculus has been used to study various infectious disease models. In this article, the influence of varied contact rates and the non-emigrating populace of the human environment on the transmission of bacteria-infected diseases is investigated using a fractional-order SIS model in the Atangana-Baleanu (AB) sense. Bacterial growth is considered to be logistic, with a linear intrinsic growth rate as a function of infectives. The system existence theory is examined to guarantee that it has at least one and unique solution. The Ulam-Hyres (UH) stability analysis is presented to show that the solution of the given model is stable. A stable numerical technique (Adams-Bashforth) is used to find the approximate solution of the model. The obtained numerical results are depicted through simulations to study the behavior of the different classes of the considered model. The effects of various contact rates are shown through numerical simulations via MATLAB-17.

Keywords: Bacterial-dependent diseases; Atangana-Baleanu operator; Adams-Bashforth method; Ulam-Hyres stability (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077922003794
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003794

DOI: 10.1016/j.chaos.2022.112169

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().