Asymptotic analysis of a size-structured population model with infinite states-at-birth
D Yan, X Fu - Applicable Analysis, 2019 - Taylor & Francis
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 …
distributed delay in birth process. We are interested in the asymptotic behavior of the …
Positive steady states of evolution equations with finite dimensional nonlinearities
We study the question of existence of positive steady states of nonlinear evolution
equations. We recast the steady state equation in the form of eigenvalue problems for a …
equations. We recast the steady state equation in the form of eigenvalue problems for a …
On a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process
M Bai, S Xu - Journal of Biological Dynamics, 2014 - Taylor & Francis
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 …
birth and distributed delay in birth process. The model distinguishes individuals by two …
[HTML][HTML] On the net reproduction rate of continuous structured populations with distributed states at birth
We consider a nonlinear structured population model with a distributed recruitment term.
The question of the existence of non-trivial steady states can be treated (at least) in three …
The question of the existence of non-trivial steady states can be treated (at least) in three …
[PDF][PDF] Existence and stability of steady states for hierarchical age-structured population models
ZR He, D Ni, S Wang - 2019 - digital.library.txstate.edu
This article concerns the stability of equilibria of a hierarchical age-structured population
system. We establish the existence of positive steady states via a fixed point result. Also we …
system. We establish the existence of positive steady states via a fixed point result. Also we …
A numerical framework for computing steady states of size-structured population models and their stability
Structured population models are a class of general evolution equations which are widely
used in the study of biological systems. Many theoretical methods are available for …
used in the study of biological systems. Many theoretical methods are available for …
Optimal boundary control problems for a hierarchical age-structured two-species model
R Liu, N Zhou, ZR He - Journal of Inequalities and Applications, 2022 - Springer
This paper discusses the optimal control problems for a nonlinear age-structured two-
species model, where elder individuals are more competitive than younger ones, and each …
species model, where elder individuals are more competitive than younger ones, and each …
[PDF][PDF] Stability of a class of nonlinear hierarchical size-structured population model
W Chen, Z Wang - Mathematical Biosciences and Engineering, 2022 - aimspress.com
This paper investigates the existence of positive equilibrium as well as the stability of
positive equilibrium and zero equilibrium in a nonlinear size-structured hierarchical …
positive equilibrium and zero equilibrium in a nonlinear size-structured hierarchical …
Stability of steady states for a class of flocculation equations with growth and removal
Flocculation is the process whereby particles (ie, flocs) in suspension reversibly combine
and separate. The process is widespread in soft matter and aerosol physics as well as …
and separate. The process is widespread in soft matter and aerosol physics as well as …
On the existence of non-trivial steady-state size-distributions for a class of flocculation equations
Flocculation is the process whereby particles (ie, flocs) in suspension reversibly combine
and separate. The process is widespread in soft matter and aerosol physics as well as …
and separate. The process is widespread in soft matter and aerosol physics as well as …