It is illustrated that age-structured population models with an additional structure nicely fit into the framework of Lipschitz perturbations of non-dense operators which satisfy the resolvent estimates. This makes it not only possible to show that unique solutions to the model equations exist in a well-defined sense, but also that they generate a dynamical system (or semiflow) which leaves closed convex subsets invariant that satisfy an appropriate subtangential condition.
{"title":"Analysis of Age-Structured Population Models with an Additional Structure","authors":"H. Thieme","doi":"10.1201/9781003072706-9","DOIUrl":"https://doi.org/10.1201/9781003072706-9","url":null,"abstract":"It is illustrated that age-structured population models with an additional structure nicely fit into the framework of Lipschitz perturbations of non-dense operators which satisfy the resolvent estimates. This makes it not only possible to show that unique solutions to the model equations exist in a well-defined sense, but also that they generate a dynamical system (or semiflow) which leaves closed convex subsets invariant that satisfy an appropriate subtangential condition.","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124089530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-16DOI: 10.1201/9781003072706-37
Ting Yang, N. Dubin
{"title":"Statistical Modeling of T−Helper (T4) Cells","authors":"Ting Yang, N. Dubin","doi":"10.1201/9781003072706-37","DOIUrl":"https://doi.org/10.1201/9781003072706-37","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130327231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Altruistic Population Model with Sex Differences","authors":"Y. Hsieh","doi":"10.1201/9781003072706-6","DOIUrl":"https://doi.org/10.1201/9781003072706-6","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115900226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-16DOI: 10.1201/9781003072706-16
J. Hale, S. Lunel
{"title":"The Effect of Rapid Oscillations in the Dynamics of Delay Equations","authors":"J. Hale, S. Lunel","doi":"10.1201/9781003072706-16","DOIUrl":"https://doi.org/10.1201/9781003072706-16","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133014821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-16DOI: 10.1201/9781003072706-39
A. Bertuzzi, A. Gandolfi, G. Starace
{"title":"Regularized Estimates of Cell Cycle Parameters in Populations Affected by Loss from Flow-Cytometry Data","authors":"A. Bertuzzi, A. Gandolfi, G. Starace","doi":"10.1201/9781003072706-39","DOIUrl":"https://doi.org/10.1201/9781003072706-39","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114773468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-16DOI: 10.1201/9781003072706-48
T. Kuczek
{"title":"Approaches to Modeling Kinetics of Colony-Forming Experiments","authors":"T. Kuczek","doi":"10.1201/9781003072706-48","DOIUrl":"https://doi.org/10.1201/9781003072706-48","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128736969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of a Cell Population Model with Unequal Division and Random Transition","authors":"O. Arino, M. Kimmel, M. Zerner","doi":"10.1201/9781003072706-2","DOIUrl":"https://doi.org/10.1201/9781003072706-2","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134016159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-16DOI: 10.1201/9781003072706-15
A. Grabosch, H. Heijmans
{"title":"Production, Development, and Maturation of Red Blood Cells","authors":"A. Grabosch, H. Heijmans","doi":"10.1201/9781003072706-15","DOIUrl":"https://doi.org/10.1201/9781003072706-15","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"330 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132982229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Remarks on an Epidemic Model with Age Structure","authors":"M. Langlais","doi":"10.1201/9781003072706-7","DOIUrl":"https://doi.org/10.1201/9781003072706-7","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125867796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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