Note on stability conditions for structured population dynamics models

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.

Note on asynchronous exponential growth for structured population models

In the present note we show asynchronous exponential growth for important age and size-structured population models. 2000 MSC: 92D25, 47D06, 35B35

Linearized stability of structured population dynamical models

Existence and stability of equilibria in age-structured population dynamics

The existence of positive equilibrium solutions of the McKendrick equations for the dynamics of an age-structured population is studied as a bifurcation phenomenon using the inherent net reproductive rate n as a bifurcation parameter. The local existence and uniqueness of a branch of positive equilibria which bifurcates from the trivial (identically zero) solution at the critical value n = 1 ar...

Models for estimating phytoplankton population densities under different environmental conditions with emphasis on climatic factors

The aim of this study is to determine the effect of environmental conditions with emphasis on the main meteorological factors (air temperature variables, sunshine hour, and humidity), on phytoplankton communities. As important primary producers in aquatic ecosystems, phytoplankton communities could be affected by several factors. Environmental factors play the major role in occurrence and diver...