Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey

Abstract EN

We develop a family of predator-prey models with agestructure and cannibalism in the prey population.

It consists of systemsof m ordinary differential equations, where m is a parameter associated withnew proposed prey birth rates.

We discuss how these new birth rates givethe required flexibility to produce differential systems with well-behavedsolutions.

The main feature required in these models is the coexistenceamong the involved species, which translates mathematically into stableequilibria and periodic solutions.

The search for such characteristics isbased on heuristic predation functions that account for cannibalism inthe prey.