Red Queen strange attractors in host-parasite replicator gene-for-gene coevolution

@article{citeulike:1181641, abstract = {We study a continuous time model describing gene-for-gene, host-parasite interactions among self-replicating macromolecules evolving in both neutral and rugged fitness landscapes. Our model considers polymorphic genotypic populations of sequences with 3 bits undergoing mutation and incorporating a "type II" non-linear functional response in the host-parasite interaction. We show, for both fitness landscapes, a wide range of chaotic coevolutionary dynamics governed by Red Queen strange attractors. The analysis of a rugged fitness landscape for parasite sequences reveals that fittest genotypes achieve lower stationary concentration values, as opposed to the flattest ones, which undergo a higher stationary concentration. Our model also shows that the increase of parasites pressure (higher self-replication and mutation rates) generically involves a simplification of the host-parasite dynamical behavior, involving the transition from a chaotic to an ordered coevolutionary phase. Moreover, the same transition can also be found when hosts "run" faster through the hypercube. Our results, in agreement with previous studies in host-parasite coevolution, suggest that chaos might be common in coevolutionary dynamics of changing self-replicating entities undergoing a host-parasite ecology.}, author = {Sardanyes, Josep and Sole, Ricard V. }, citeulike-article-id = {1181641}, doi = {10.1016/j.chaos.2006.08.031}, journal = {Chaos, Solitons \& Fractals}, month = {June}, number = {5}, pages = {1666--1678}, posted-at = {2008-04-17 19:07:39}, priority = {2}, title = {Red Queen strange attractors in host-parasite replicator gene-for-gene coevolution}, url = {http://dx.doi.org/10.1016/j.chaos.2006.08.031}, volume = {32}, year = {2007} }

TY - JOUR ID - citeulike:1181641 L3 - citeulike-article-id:1181641 TI - Red Queen strange attractors in host-parasite replicator gene-for-gene coevolution JF - Chaos, Solitons & Fractals VL - 32 IS - 5 SP - 1666 EP - 1678 N2 - We study a continuous time model describing gene-for-gene, host-parasite interactions among self-replicating macromolecules evolving in both neutral and rugged fitness landscapes. Our model considers polymorphic genotypic populations of sequences with 3 bits undergoing mutation and incorporating a "type II" non-linear functional response in the host-parasite interaction. We show, for both fitness landscapes, a wide range of chaotic coevolutionary dynamics governed by Red Queen strange attractors. The analysis of a rugged fitness landscape for parasite sequences reveals that fittest genotypes achieve lower stationary concentration values, as opposed to the flattest ones, which undergo a higher stationary concentration. Our model also shows that the increase of parasites pressure (higher self-replication and mutation rates) generically involves a simplification of the host-parasite dynamical behavior, involving the transition from a chaotic to an ordered coevolutionary phase. Moreover, the same transition can also be found when hosts "run" faster through the hypercube. Our results, in agreement with previous studies in host-parasite coevolution, suggest that chaos might be common in coevolutionary dynamics of changing self-replicating entities undergoing a host-parasite ecology. AU - Sardanyes, Josep AU - Sole, Ricard PY - 2007/06// UR - http://dx.doi.org/10.1016/j.chaos.2006.08.031 ER -