{"title":"具有中间类的流行病数学模型","authors":"S. Inyama","doi":"10.4314/JONAMP.V11I1.40208","DOIUrl":null,"url":null,"abstract":"In this paper we present a Mathematical model for diseases that place some new recruits from the susceptible class into an “exposed but not yet infectious” class which we denote by E. The rest of the susceptible class can be infected directly. The model is developed and its steady state determined. The stability of the steady state was analyzed and it was found that the steady state is a saddle point. The disease free steady state was also analyzed and it was shown that it is stable if N JONAMP Vol. 11 2007: pp. 149-152","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical model of epidemics with intermediate classes\",\"authors\":\"S. Inyama\",\"doi\":\"10.4314/JONAMP.V11I1.40208\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present a Mathematical model for diseases that place some new recruits from the susceptible class into an “exposed but not yet infectious” class which we denote by E. The rest of the susceptible class can be infected directly. The model is developed and its steady state determined. The stability of the steady state was analyzed and it was found that the steady state is a saddle point. The disease free steady state was also analyzed and it was shown that it is stable if N JONAMP Vol. 11 2007: pp. 149-152\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"64 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40208\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40208","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中，我们提出了一个疾病的数学模型，将易感类中的一些新成员置于“暴露但尚未感染”的类别中，我们用e表示，其余的易感类可以直接感染。建立了模型并确定了其稳态。分析了稳态的稳定性，发现稳态是一个鞍点。对无病稳态也进行了分析，结果表明，如果N JONAMP Vol. 11 2007: pp. 149-152，则无病稳态是稳定的
Mathematical model of epidemics with intermediate classes
In this paper we present a Mathematical model for diseases that place some new recruits from the susceptible class into an “exposed but not yet infectious” class which we denote by E. The rest of the susceptible class can be infected directly. The model is developed and its steady state determined. The stability of the steady state was analyzed and it was found that the steady state is a saddle point. The disease free steady state was also analyzed and it was shown that it is stable if N JONAMP Vol. 11 2007: pp. 149-152
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