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pubmed-article:2061695pubmed:dateCreated1991-8-2lld:pubmed
pubmed-article:2061695pubmed:abstractTextEpidemiological models with nonlinear incidence rates can have very different dynamic behaviors than those with the usual bilinear incidence rate. The first model considered here includes vital dynamics and a disease process where susceptibles become exposed, then infectious, then removed with temporary immunity and then susceptible again. When the equilibria and stability are investigated, it is found that multiple equilibria exist for some parameter values and periodic solutions can arise by Hopf bifurcation from the larger endemic equilibrium. Many results analogous to those in the first model are obtained for the second model which has a delay in the removed class but no exposed class.lld:pubmed
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pubmed-article:2061695pubmed:issn0303-6812lld:pubmed
pubmed-article:2061695pubmed:authorpubmed-author:HethcoteH WHWlld:pubmed
pubmed-article:2061695pubmed:authorpubmed-author:van den...lld:pubmed
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pubmed-article:2061695pubmed:volume29lld:pubmed
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pubmed-article:2061695pubmed:pagination271-87lld:pubmed
pubmed-article:2061695pubmed:dateRevised2007-11-14lld:pubmed
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pubmed-article:2061695pubmed:year1991lld:pubmed
pubmed-article:2061695pubmed:articleTitleSome epidemiological models with nonlinear incidence.lld:pubmed
pubmed-article:2061695pubmed:affiliationDepartment of Mathematics, University of Iowa, Iowa City 52242.lld:pubmed
pubmed-article:2061695pubmed:publicationTypeJournal Articlelld:pubmed
pubmed-article:2061695pubmed:publicationTypeResearch Support, U.S. Gov't, P.H.S.lld:pubmed
pubmed-article:2061695pubmed:publicationTypeResearch Support, Non-U.S. Gov'tlld:pubmed
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