| Abstract: | This paper considers models of physical phenomena, in particular models from population dynamics. The main model of concern is a combination of two previously developed models: the model of non-linear age dependent population and the classic Lotka-Volterra model of interacting predator and prey populations. It is shown that this model has a unique solution for all time, and this solution is bounded for finite time. A particular case is studied by computer simulation, and the results show that indiscriminate eating leads to a stable periodic relation between the predator and the prey, while selective eating leads to nonstable behavior. It is suggested that age-selective predation can be a stabilizing agent in a predator-prey scheme. |
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