Maintenance of diversity in a hierarchical host-parasite model with balancing selection and reinfection

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:130

Article

Pokalyuk, Cornelia¹  Wakolbinger, Anton¹ 

[1] Goethe Univ Frankfurt, Math Inst, D-60629 Frankfurt, Germany

关键词: Hierarchical host-parasite system;    Balancing selection;    Mean-field limit;    Random genealogies;   

DOI  :  10.1016/j.spa.2019.04.009

来源: Elsevier

【 摘 要 】

Inspired by DNA data of the human cytomegalovirus we propose a model of a two-type parasite population distributed over its hosts. The parasite is capable to persist in its host till the host dies, and to reinfect other hosts. To maintain type diversity within a host, balancing selection is assumed. For a suitable parameter regime we show that in the limit of large host and parasite populations the host state frequencies follow a dynamical system with a globally stable equilibrium, guaranteeing that both types are maintained in the parasite population for a long time on the host time scale. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free