Analysis of a model for waterborne diseases with Allee effect on bacteria
Articles
Florinda Capone
Universitá di Napoli Federico II
https://orcid.org/0000-0002-0672-999X
Maria Francesca Carfora
Istituto per le Applicazioni del Calcolo “Mauro Picone”, CNR
https://orcid.org/0000-0002-4570-1690
Roberta De Luca
Universitá di Napoli Federico II
https://orcid.org/0000-0002-2109-7564
Isabella Torcicollo
Istituto per le Applicazioni del Calcolo “Mauro Picone”, CNR
https://orcid.org/0000-0001-6374-4371
Published 2020-11-01
https://doi.org/10.15388/namc.2020.25.20563
PDF

Keywords

waterborne disease
Allee effect
stability
ODEs system

How to Cite

Capone, F. (2020) “Analysis of a model for waterborne diseases with Allee effect on bacteria”, Nonlinear Analysis: Modelling and Control, 25(6), pp. 1035–1058. doi:10.15388/namc.2020.25.20563.
Crossref
4
Scopus
5
Crossref Logo
Maria Carfora, Isabella Torcicollo (2021)
A Fractional-in-Time Prey–Predator Model with Hunting Cooperation: Qualitative Analysis, Stability and Numerical Approximations. Axioms, 10(2), 78.
Crossref Logo
Maria Francesca Carfora, Isabella Torcicollo (2022)
Identification of epidemiological models: the case study of Yemen cholera outbreak. Applicable Analysis, 101(10), 3744.
Crossref Logo
Sattwika Acharya, Bapin Mondal, Ranjit Kumar Upadhyay, Parthasakha Das (2024)
Exploring noise-induced dynamics and optimal control strategy of iSIR cholera transmission model. Nonlinear Dynamics, 112(5), 3951.
Crossref Logo
HASIB KHAN, JEHAD ALZABUT, ANWAR SHAH, ZAI-YIN HE, SINA ETEMAD, SHAHRAM REZAPOUR, AKBAR ZADA (2023)
ON FRACTAL-FRACTIONAL WATERBORNE DISEASE MODEL: A STUDY ON THEORETICAL AND NUMERICAL ASPECTS OF SOLUTIONS VIA SIMULATIONS. Fractals, 31(04).
Scopus Logo
Buonomo B. (2022-09-01)
Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy. Nonlinear Analysis: Modelling and Control, 27(5), 948-963.

Abstract

A limitation of current modeling studies in waterborne diseases (one of the leading causes of death worldwide) is that the intrinsic dynamics of the pathogens is poorly addressed, leading to incomplete, and often, inadequate understanding of the pathogen evolution and its impact on disease transmission and spread. To overcome these limitations, in this paper, we consider an ODEs model with bacterial growth inducing Allee effect. We adopt an adequate functional response to significantly express the shape of indirect transmission. The existence and stability of biologically meaningful equilibria is investigated through a detailed discussion of both backward and Hopf bifurcations. The sensitivity analysis of the basic reproduction number is performed. Numerical simulations confirming the obtained results in two different scenarios are shown.

PDF

Downloads