Open AccessAN AGE STRUCTURE MODEL WITH IMPULSE ACTIONS FOR LEPTOSPIROSIS IN LIVESTOCK CATTLE
Author(s) -
İbrahim Aslan,
David Baca-Carrasco,
Suzanne Lenhart,
Juan González Hernández
Publication year - 2021
Publication title -
journal of biological systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.397
H-Index - 32
eISSN - 1793-6470
pISSN - 0218-3390
DOI - 10.1142/s0218339021500042
Subject(s) - leptospirosis , basic reproduction number , ordinary differential equation , impulse control , disease control , ode , livestock , impulse (physics) , vaccination , statistics , biology , computer science , veterinary medicine , mathematics , differential equation , medicine , environmental health , ecology , virology , physics , mathematical analysis , population , quantum mechanics , neuroscience
As a zoonotic disease, leptospirosis has now been identified as one of the emerging infectious diseases. In this paper, we analyze the propagation of leptospirosis and find a schedule for control programs to eradicate the disease in a cattle ranch. A mathematical model has been built with ordinary differential equations (ODEs) to understand the epidemiology of leptospirosis and main factors on its transmission. We investigated the disease free equilibrium of the model and its stability using the basic reproduction number, [Formula: see text], and target reproduction number, [Formula: see text]. Then, the model incorporates vaccination and recruitment control programs in the form of impulse actions as measures to prevent the propagation of leptospirosis in the ranch. Parameter estimation and sensitivity analysis are presented as a part of this study.