2006
DOI: 10.1007/s00285-006-0058-2
|View full text |Cite
|
Sign up to set email alerts
|

Structured population dynamics: continuous size and discontinuous stage structures

Abstract: A nonlinear stochastic model for the dynamics of a population with either a continuous size structure or a discontinuous stage structure is formulated in the Eulerian formalism. It takes into account dispersion effects due to stochastic variability of the development process of the individuals. The discrete equations of the numerical approximation are derived, and an analysis of the existence and stability of the equilibrium states is performed. An application to a copepod population is illustrated; numerical … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
32
0

Year Published

2009
2009
2024
2024

Publication Types

Select...
8

Relationship

2
6

Authors

Journals

citations
Cited by 39 publications
(32 citation statements)
references
References 26 publications
0
32
0
Order By: Relevance
“…Population abundance N ij (t) at each stage i in cell j at time t was obtained by considering a discretisation of the von Foerster Equations. 20,21 The model simulates an entire year of B. tabaci population dynamics with a time step of 1 h. This small time interval guarantees convergence of the discretised von Foerster equations. The initial condition for whitefly is 0.1 adults plant −1 on 1 March.…”
Section: Model Structurementioning
confidence: 99%
“…Population abundance N ij (t) at each stage i in cell j at time t was obtained by considering a discretisation of the von Foerster Equations. 20,21 The model simulates an entire year of B. tabaci population dynamics with a time step of 1 h. This small time interval guarantees convergence of the discretised von Foerster equations. The initial condition for whitefly is 0.1 adults plant −1 on 1 March.…”
Section: Model Structurementioning
confidence: 99%
“…A further possible extension concerns the population dynamics. In this article, a simple model is presented based on the exponential growth of the vector insect, but more complex population dynamics aspects can be considered, for instance, a stage-structured population dynamics (28) or the temperature-dependent responses of development, mortality, and fecundity. (29) A further level of complexity can be introduced modeling the transmission of the virus to the host plant and the way in which the virus per se is able to establish (e.g., considering the competition with the already established virus strains).…”
Section: Discussionmentioning
confidence: 99%
“…Because of its economic importance, several age-stagestructured weather driven models for L. botrana have been developed to predict adult flight phenology for field integrated pest management (IPM) decision support (Baumgärtner & Baronio, 1988;Briolini et al, 1997;Severini et al, 2005;Buffoni & Pasquali, 2007;Ainseba et al, 2011;Gilioli et al, 2016). Gutierrez et al (2012) linked physiologically-based demographic models (PBDMs) for grapevine (Wermelinger et al, 1991) and L. botrana and used the system to assess the invasiveness of L. botrana in the U.S.A.…”
Section: Introductionmentioning
confidence: 99%