Advancing environmentally explicit structured population models of plants

Spatially Explicit Population Models

During the last decade, ecologists and particularly mathematical ecologists have focused on different approaches to the problem of spatial distribution of species. When the spatial distribution is not considered explicitly, the mathematical models are called spatially implicit. They consider the proportion of territory occupied by given species, but there is no information on which particular s...

Spatially Explicit Population Models

During the last decade, ecologists and particularly mathematical ecologists have focused on different approaches to the problem of spatial distribution of species. When the spatial distribution is not considered explicitly, the mathematical models are called spatially implicit. They consider the proportion of territory occupied by given species, but there is no information on which particular s...

A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models

In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear age-structured population models.

Linearized stability of structured population dynamical models

Steady-state analysis of structured population models.

Our systematic formulation of nonlinear population models is based on the notion of the environmental condition. The defining property of the environmental condition is that individuals are independent of one another (and hence equations are linear) when this condition is prescribed (in principle as an arbitrary function of time, but when focussing on steady states we shall restrict to constant...