Distributed Delay Model and Von Foerster's equation: Different points of view to describe insects' life cycles with chronological age and physiological time

L Rossini, S Speranza, M Contarini - Ecological Informatics, 2020 - Elsevier
Mathematical models are a powerful tool when used to describe ectotherms' life cycles,
above all for their suitability in being utilised for decision support systems. In particular, two …

Reformulation of the Distributed Delay Model to describe insect pest populations using count variables

L Rossini, M Contarini, M Severini, S Speranza - Ecological modelling, 2020 - Elsevier
Among the models used to describe insect pest populations, the Distributed Delay Model
has been applied in several case studies in recent years. Its success is due mainly to its …

An age-structured model with delay mortality

JM Tchuenche - BioSystems, 2005 - Elsevier
Many species experience aperiodic mortality. Yet, there is little or no understanding of how
this event affects population dynamics. We have considered one of the most simple class of …

A novel version of the Von Foerster equation to describe poikilothermic organisms including physiological age and reproduction rate

L Rossini, M Contarini, S Speranza - Ricerche di Matematica, 2021 - Springer
The mathematical description of poikilothermic organisms' life cycle, of insects in particular,
is a widely discussed argument, above all for its application in decision support systems …

Mathematical models for age-structured population dynamics: an overview

G Di Cola, G Gilioli, J Baumgärtner - Population and Community …, 2020 - taylorfrancis.com
The overview on structured population models starts with the presentation of deterministic
models (section 2). On this ground models with physiological variables (section 3) and …

Modelling ectotherms' populations considering physiological age structure and spatial motion: A novel approach

L Rossini, NB Rosselló, M Contarini, S Speranza… - Ecological …, 2022 - Elsevier
The mathematical description of the dynamics of ectotherm populations has a crucial role in
understanding and forecasting insect pests outbreaks, as well as to support the formulation …

A general ODE-based model to describe the physiological age structure of ectotherms: Description and application to Drosophila suzukii

L Rossini, NB Rosselló, S Speranza, E Garone - Ecological Modelling, 2021 - Elsevier
This paper introduces a novel general model based on Ordinary Differential Equations
(ODEs) which is able to describe the population dynamics of a large class of insect pests …

The systematic formulation of population models for insects with dynamically varying instar duration

RM Nisbet, WSC Gurney - Theoretical Population Biology, 1983 - Elsevier
We develop a formalism for insect population dynamics which covers the situation where
maturation from one instar to its successor is triggered by weight gain and not by …

Comparison of three models predicting developmental milestones given environmental and individual variation

E Gilbert, JA Powell, JA Logan, BJ Bentz - Bulletin of Mathematical Biology, 2004 - Springer
In all organisms, phenotypic variability is an evolutionary stipulation. Because the
development of poikilothermic organisms depends directly on the temperature of their …

Parameter estimation for distributed delay based population models from laboratory data: egg hatching of Oulema duftschmidi Redthenbacher (Coleoptera …

M Severini, J Baumgärtner, L Limonta - Ecological Modelling, 2003 - Elsevier
The cohort development of poikilotherms under favorable temperature conditions may be
described by the time-invariant distributed delay models that require three parameters, ie the …