Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability a will go extinct when it is exposed harvesting. To study these properties, we use an aquatic system containing one fish species and underlying resource our models. In particular, class of stage-structured with without starvation. models, resilience, reco...

We propose stage-structured population models for species whose adult members are subject to culling, with a view to understanding the culling regimes that are likely to result in eradication of the species. A purely time-dependent model is proposed in which culling occurs at particular discrete times, not necessarily equally spaced. Then a reaction-diffusion model is proposed for a situation i...

We formulate discrete-time stage-structured models, based on systems of difference equations, for mosquito populations. We include the four distinct mosquito metamorphic stages, egg, pupa, larva, and adult, in the models. We derive a formula for the inherent net reproductive number, and investigate existence and stability of fixed points. We also show that the models, by means of numerical simu...

In most models of population dynamics, changes in population due to birth or harvesting are assumed to be time-independent, but many species reproduce or are caught only during a single period of the year. In this paper a single species stage-structured model with density-dependent maturation rate, birth pulse and harvesting pulse is formulated. Using the discrete dynamical system determined by...