We consider a linear size-structured population model with diffusion in the size-space.
Individuals are recruited into the population at arbitrary sizes. The model is equipped with …

This article investigates Hopf bifurcation for a size-structured population dynamic model that
is designed to describe size dispersion among individuals in a given population. This model …

In this paper, we study a size-structured population model with infinite states-at-birth and
distributed delay in birth process. We are interested in the asymptotic behavior of the …

We investigate steady states of a quasilinear first order hyperbolic partial integro-differential
equation. The model describes the evolution of a hierarchical structured population with …

In this paper we study the two-phase size-structured population model with infinite states-at-
birth and distributed delay in birth process. The model distinguishes individuals by two …

This paper deals with a size-structured population model consisting of a quasi-linear first-
order partial differential equation with nonlinear boundary condition. The existence and …

In this article we study a two-phase cell division model. The cells of the two different phases
have different growth rates. We mainly consider the model of equal mitosis. By using the …

According to the World Health Organization the global incidence rate of dengue infections
have risen drastically in recent years. It is estimated that globally the number of new …

This work provides a general spectral analysis of size-structured two-phase population
models. Systematic functional analytic results are given. We deal first with the case of finite …

The first part of this works deals with an integro-differential operator with boundary condition
related to the interior solution. We prove that the model is governed by a strongly continuous …