Search
Search Results
-
Resonance in Physiologically Structured Population Models
Ecologists have long sought to understand how the dynamics of natural populations are affected by the environmental variation those populations...
-
On the Approximation of Physiologically Structured Population Model with a Three Stage-Structured Population Model in a Grazing System
ACanpwonyi, Sam Carlsson, Linus great deal of ecological theory is based on simple Lotka-Volterra-type of unstructured population models in the study...
-
Modelling physiologically structured populations: renewal equations and partial differential equations
We analyse the long term behaviour of the measure-valued solutions of a class of linear renewal equations modelling physiologically structured...
-
Nonlinear Physiologically Structured Population Models with Two Internal Variables
First-order hyperbolic partial differential equations with two internal variables have been used to model biological and epidemiological problems...
-
Numerical Bifurcation Analysis of Physiologically Structured Population Models via Pseudospectral Approximation
Physiologically structured population models are typically formulated as a partial differential equation of transport type for the density, with a...
-
A Stage-Structured Continuous-/Discrete-Time Population Model: Persistence and Spatial Spread
Population persistence and spatial propagation and their dependence on demography and dispersal are of great importance in spatial ecology. Many...
-
Method Development for Emergent Properties in Stage-Structured Population Models with Stochastic Resource Growth
Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a...
-
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly
Invasive pest establishment is a pervasive threat to global ecosystems, agriculture, and public health. The recent establishment of the invasive...
-
A nonautonomous model for the interaction between a size-structured consumer and an unstructured resource
In this paper, we propose and analyze a nonautonomous model that describes the dynamics of a size-structured consumer interacting with an...
-
On models of physiologically structured populations and their reduction to ordinary differential equations
Considering the environmental condition as a given function of time, we formulate a physiologically structured population model as a linear...
-
Linear Age-Structured Population Models as a Base of Age-Structured Epidemic Models
Age-structured epidemic models are based on age-structured population models. Typically the linear age-structured population model, called the...
-
Finite dimensional state representation of physiologically structured populations
In a physiologically structured population model (PSPM) individuals are characterised by continuous variables, like age and size, collectively called...
-
A Lipid-Structured Model of Atherosclerotic Plaque Macrophages with Lipid-Dependent Kinetics
Atherosclerotic plaques are fatty growths in artery walls that cause heart attacks and strokes. Plaque formation is driven by macrophages that are...
-
A Mathematical Model for Harvesting in a Stage-Structured Cannibalistic System
ToNankinga, Loy Carlsson, Linus increase the production of proteins in East Africa, aquaculture gained increased attention recently. In this paper,...
-
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process
We study the long time behavior of an asymmetric size-structured measure-valued growth-fragmentation branching process that models the dynamics of a...
-
Structured Tick Population Dynamics
Changes in temperature are believed to affect the interstadial development time of ticks and hence give rise to a time-periodic developmental delay...
-
On first-order hyperbolic partial differential equations with two internal variables modeling population dynamics of two physiological structures
In this paper we develop fundamental theories for a scalar first-order hyperbolic partial differential equation with two internal variables which...
-
On hierarchical competition through reduction of individual growth
We consider a population organised hierarchically with respect to size in such a way that the growth rate of each individual depends only on the...
-
One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics
Despite their relevance in mathematical biology, there are, as yet, few general results about the asymptotic behaviour of measure valued solutions of...
