title: Effects of habitat characteristics on the growth of carrier population leading to increased spread of typhoid fever: a model.
abstract: In this paper, a non-linear model is proposed and analyzed to study the effects of habitat characteristics favoring logistically growing carrier population leading to increased spread of typhoid fever. It is assumed that the cumulative density of habitat characteristics and the density of carrier population are governed by logistic models; the growth rate of the former increases as the density of human population increases. The model is analyzed by stability theory of differential equations and computer simulation. The analysis shows that as the density of the infective carrier population increases due to habitat characteristics, the spread of typhoid fever increases in comparison with the case without such factors.
authors.affiliation: Bhabha Group of Institutions, Kanpur (Rural) 209204, India.
authors.forename: J B
authors.initials: JB
authors.lastname: Shukla
authors.affiliation: The University of New South Wales, Sydney, NSW 2052, Australia. Electronic address: ashish.goyal@student.unsw.edu.au.
authors.forename: Ashish
authors.initials: A
authors.lastname: Goyal
authors.affiliation: Department of Mathematics and Statistics, IIT Kanpur, Kanpur 208016, India.
authors.forename: Shikha
authors.initials: S
authors.lastname: Singh
authors.affiliation: Department of Mathematics and Statistics, IIT Kanpur, Kanpur 208016, India.
authors.forename: Peeyush
authors.initials: P
authors.lastname: Chandra
mesh_terms: D002353:Carrier State / Q000382:microbiology*; D003198:Computer Simulation; D017753:Ecosystem; D004641:Emigration and Immigration; D005260:Female; D006801:Humans; D016015:Logistic Models; D008297:Male; D055641:Mathematical Concepts; D008954:Models, Biological; D008962:Models, Theoretical; D011156:Population Density; D011157:Population Dynamics; D012111:Residence Characteristics; D012529:Saudi Arabia; D014435:Typhoid Fever / Q000453:epidemiology* / Q000635:transmission
keywords: Carriers; Habitat characteristics; Immigration; Logistic model; Stability