{"title":"具有异质免疫反应的宿主群体的毒力进化:不常见的弱的减弱。","authors":"Carles Barril, Marina Vegué","doi":"10.1007/s11538-026-01673-9","DOIUrl":null,"url":null,"abstract":"<p><p>How and to what extent different factors in pathogen-host dynamics shape virulence has been largely debated due to evolutionary forces acting in opposite directions. Here we present a model of pathogen-host dynamics with the aim of studying how competition between pathogens and the immune response of the host affect virulence. The model describes, and links, the pathogen dynamics inside individual hosts and the dynamics of the susceptible and infected individuals in the host population. We first show that when the hosts have an adequate immune response (so that they completely recover from the infection on a short time scale), pathogens tend to increase their virulence. On the contrary, if the hosts are vulnerable (meaning that they will eventually die from the infection), low virulences will be selected. We then move to a richer scenario in which the host population is mixed and contains a fraction p of vulnerable individuals. We see that the selected virulence exhibits biologically relevant behaviors as p takes intermediate values.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 7","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13249619/pdf/","citationCount":"0","resultStr":"{\"title\":\"Virulence Evolution in Host Populations with Heterogeneous Immune Responses: The Weakening of the Uncommon Weak.\",\"authors\":\"Carles Barril, Marina Vegué\",\"doi\":\"10.1007/s11538-026-01673-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>How and to what extent different factors in pathogen-host dynamics shape virulence has been largely debated due to evolutionary forces acting in opposite directions. Here we present a model of pathogen-host dynamics with the aim of studying how competition between pathogens and the immune response of the host affect virulence. The model describes, and links, the pathogen dynamics inside individual hosts and the dynamics of the susceptible and infected individuals in the host population. We first show that when the hosts have an adequate immune response (so that they completely recover from the infection on a short time scale), pathogens tend to increase their virulence. On the contrary, if the hosts are vulnerable (meaning that they will eventually die from the infection), low virulences will be selected. We then move to a richer scenario in which the host population is mixed and contains a fraction p of vulnerable individuals. We see that the selected virulence exhibits biologically relevant behaviors as p takes intermediate values.</p>\",\"PeriodicalId\":9372,\"journal\":{\"name\":\"Bulletin of Mathematical Biology\",\"volume\":\"88 7\",\"pages\":\"\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2026-06-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13249619/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Mathematical Biology\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11538-026-01673-9\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"BIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Biology","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11538-026-01673-9","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BIOLOGY","Score":null,"Total":0}
Virulence Evolution in Host Populations with Heterogeneous Immune Responses: The Weakening of the Uncommon Weak.
How and to what extent different factors in pathogen-host dynamics shape virulence has been largely debated due to evolutionary forces acting in opposite directions. Here we present a model of pathogen-host dynamics with the aim of studying how competition between pathogens and the immune response of the host affect virulence. The model describes, and links, the pathogen dynamics inside individual hosts and the dynamics of the susceptible and infected individuals in the host population. We first show that when the hosts have an adequate immune response (so that they completely recover from the infection on a short time scale), pathogens tend to increase their virulence. On the contrary, if the hosts are vulnerable (meaning that they will eventually die from the infection), low virulences will be selected. We then move to a richer scenario in which the host population is mixed and contains a fraction p of vulnerable individuals. We see that the selected virulence exhibits biologically relevant behaviors as p takes intermediate values.
期刊介绍:
The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including:
Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations
Research in mathematical biology education
Reviews
Commentaries
Perspectives, and contributions that discuss issues important to the profession
All contributions are peer-reviewed.