PREDATOR–PREY MODEL WITH AGE STRUCTURE

A predator prey model with age structure.

A general predator-prey model is considered in which the predator population is assumed to have an age structure which significantly affects it fecundity. The model equations are derived from the general McKendrick equations for age structured populations. The existence, stability and de-stabilization of equilibria are studied as they depend on the prey's natural carrying capacity and the matur...

Uncertain population model with age-structure

The partial differential equation has been vastly applied to analyzing the problems in the life sciences. However, these types of partial differential equation models are mostly deterministic. As we know, the real life is full of uncertain factors, hence the above deterministic partial differential equations are not enough to handle the problems with uncertain noises. For modelling these proble...

Existence of a Nonautonomous SIR Epidemic Model with Age Structure

Habitat heterogeneity and mammalian predatorprey interactions

1. In predator–prey theory, habitat heterogeneity can affect the relationship between kill rates and prey or predator density through its effect on the predator’s ability to search for, encounter, kill and consume its prey. Many studies of predator– prey interactions include the effect of spatial heterogeneity, but these are mostly based on species with restricted mobility or conducted in exper...

Population Models with Age and Space Structure

In this thesis, basic concepts of populational models are studied from a theoretical point of view, especially the long term behaviours. All models are at least time dependent with additional age structure, spatial structure. The last model which is an extension of the von Foerster equation, is dependent on all o f these structures and have a long-term solution for large values of time. Modelin...