Pub Date : 2020-12-17DOI: 10.1201/9781003072706-28
James R. Thompson, K. W. Go
{"title":"AIDS","authors":"James R. Thompson, K. W. Go","doi":"10.1201/9781003072706-28","DOIUrl":"https://doi.org/10.1201/9781003072706-28","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134272929","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 : 2020-12-17DOI: 10.1201/9781003072706-19
Hal L. Smith
{"title":"Competition in a Modified Gradostat","authors":"Hal L. Smith","doi":"10.1201/9781003072706-19","DOIUrl":"https://doi.org/10.1201/9781003072706-19","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"152 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130504057","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 : 2020-12-17DOI: 10.1201/9781003072706-10
M. Witten
{"title":"Mathematical Modeling of Cell Population Dynamics as Applied to the Study of Cellular Aging","authors":"M. Witten","doi":"10.1201/9781003072706-10","DOIUrl":"https://doi.org/10.1201/9781003072706-10","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126302717","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: 10.1201/9781003072706-13
J. Bélair
{"title":"Population Models with State-Dependent Delays","authors":"J. Bélair","doi":"10.1201/9781003072706-13","DOIUrl":"https://doi.org/10.1201/9781003072706-13","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":"122839889","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: 10.1201/9781003072706-17
J. Klamka
{"title":"Controllability of Nonlinear Systems with Application to Analysis of Population Dynamics","authors":"J. Klamka","doi":"10.1201/9781003072706-17","DOIUrl":"https://doi.org/10.1201/9781003072706-17","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"12 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132119079","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":"Slow Oscillations in a Model of Cell Population Dynamics","authors":"O. Arino, Abdessamad Mortabit","doi":"10.1201/9781003072706-3","DOIUrl":"https://doi.org/10.1201/9781003072706-3","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"1 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":"131100235","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: 10.1201/9781003072706-31
B. Holland
{"title":"Distinguishing Between Single- and Multiple-Hazard Random Processes in Small Samples","authors":"B. Holland","doi":"10.1201/9781003072706-31","DOIUrl":"https://doi.org/10.1201/9781003072706-31","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"4 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":"115440946","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: 10.1201/9781003072706-20
A. Świerniak, Z. Duda, J. Skierski
{"title":"S-Domain Modeling of Neoplastic Cells Circulation in Mice","authors":"A. Świerniak, Z. Duda, J. Skierski","doi":"10.1201/9781003072706-20","DOIUrl":"https://doi.org/10.1201/9781003072706-20","url":null,"abstract":"","PeriodicalId":120227,"journal":{"name":"Mathematical population dynamics","volume":"90 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":"123700335","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}
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}
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