Modeling the transmission phenomena of water-borne disease with non-singular and non-local kernel

Wejdan Deebani, Rashid Jan, Zahir Shah, Narcisa Vrinceanu and Mihaela Racheriu

Computer Methods in Biomechanics and Biomedical Engineering, 2023, vol. 26, issue 11, 1294-1307

Abstract: Drinking or recreating water that has been polluted with disease-causing organisms or pathogens is what causes waterborne infections. It should be noted that many water-borne infections can also transmit from person to person, by contact with animals or their surroundings, or by ingesting tainted food or beverages. Schistosomiasis is a water-borne infection found in different areas of the globe. Mostly people with this viral infection live in Africa with limited resources and medications. Therefore, investigation of this infection is significant to reduce its economic burden on the society. We formulated a novel epidemic model for schistosomiasis water-borne infection with the help of the Atangana–Baleanu derivative. The rudimentary theory of fractional-calculus has been presented for the analysis of our system. We start by looking at the model solution’s non-negativity and uniqueness. The basic reproduction number and equilibria of the hypothesized water-borne infection model are next evaluated. Local stability of the infection-free steady-state has been established through Jacobian matrix method for R0

Date: 2023
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DOI: 10.1080/10255842.2022.2114793

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