Influenza Virus—Host Co-evolution. A Predator-Prey Relationship?

Distributed predator–prey co-evolution

An evolutionary distribution z (x, t) is a distribution of the density of organisms along the values of adaptive traits x at time t. Predator and prey evolutionary distributions with competition, assortative mating and mutations display dynamics that include cyclic waves and other esoteric phenomena. Such phenomena depend on the parameter space, on the instability of the predator–prey dynamics,...

Evolution in predator-prey systems

We study the adaptive dynamics of predator prey systems modeled by a dynamical system in which the characteristics are allowed to evolve by small mutations. When only the prey are allowed to evolve, and the size of the mutational change tends to 0, the system does not exhibit prey coexistence and the parameters of the resident prey type converges to the solution of an ODE. When only the predato...

Co-evolving predator and prey robots

Dynamical behavior of a stage structured prey-predator model

In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...

Effects of rapid prey evolution on predator-prey cycles.

We study the qualitative properties of population cycles in a predator-prey system where genetic variability allows contemporary rapid evolution of the prey. Previous numerical studies have found that prey evolution in response to changing predation risk can have major quantitative and qualitative effects on predator-prey cycles, including: (1) large increases in cycle period, (2) changes in ph...