Existence of periodic solutions and stability of zero solution of a mathematical model of schistosomiasis
type: Item
instance of: scholarly article
title: Existence of periodic solutions and stability of zero solution of a mathematical model of schistosomiasis
zbMATH Open document ID: 1406.92591
DOI: 10.1155/2014/765498
author: Lin Li
author: Zhicheng Liu
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: A mathematical model on schistosomiasis governed by periodic differential equations with a time delay was studied. By discussing boundedness of the solutions of this model and construction of a monotonic sequence, the existence of positive periodic solution was shown. The conditions under which the model admits a periodic solution and the conditions under which the zero solution is globally stable are given, respectively. Some numerical analyses show the conditional coexistence of locally stable zero solution and periodic solutions and that it is an effective treatment by simply reducing the population of snails and enlarging the death ratio of snails for the control of schistosomiasis.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
zbMATH DE Number: 7010748
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/765498
OpenAlex ID: W2080546230
Wikidata QID: Q59052300
description: scientific article; zbMATH DE number 7010748