A Ratio-Dependent Model of Replicator-Genetic Parasite Coevolution Demonstrates Instability of the Parasite-Free State
Berezovskaya, F. S.; Karev, G. P.; Wolf, Y. I.; Koonin, E. V.
Show abstract
Nearly all organisms on earth are hosts to diverse genetic parasites including viruses and various types of mobile genetic elements. The emergence and persistence of genetic parasites was hypothesized to be an intrinsic feature of biological evolution. Here we examine this proposition by analysis of a ratio-dependent Lotka-Volterra type model of replicator(host)-parasite coevolution where the evolutionary outcome depends on the ratio of the host and parasite numbers. In a large, unbounded domain of the space of the model parameters, which include the replicator carrying capacity, the damage inflicted by the parasite, the replicative advantage of the parasites, and its mortality rate, the parasite-free equilibrium takes the form of a saddle and accordingly is unstable. Therefore, the evolutionary outcome is either the stable coexistence of the replicator and the parasite or extinction of both. Thus, the results of ratio-dependent model analysis are compatible with the hypothesis that genetic parasites are inherent to life.
Matching journals
The top 7 journals account for 50% of the predicted probability mass.
Similar papers in this journal
- Global analysis of a cancer model with drug resistance due to Lamarckian induction and microvesicle transfer 99%
- Excitable dynamics in a molecularly-explicit model of cell motility: Mixed-mode oscillations and beyond 97%
- Population dynamics of multi-host communities attacked by a common parasitoid 96%
"Similar papers" are the closest papers from that journal in the model's embedding space. They show what the match is built on, but the ranking comes mostly from a classifier over the whole training set, not from these examples alone.