Maintenance of diversity in a hierarchical host-parasite model with balancing selection and reinfection
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.
- Pub Date:
- February 2018
- Mathematics - Probability;
- Quantitative Biology - Populations and Evolution
- Made a correction in the formulation of Theorem 3, added a specification concerning the topology in Theorem 1 and expanded the proofs of Theorem 1, Proposition 3.13 (which was Corollary 3.13 before) and Theorem 3 in order to improve the readability