Periodic solutions for a population dynamics problem with age-dependence and spatial structure

1991 ◽  
Vol 29 (4) ◽  
pp. 363-378 ◽  
Author(s):  
M. Kubo ◽  
M. Langlais
Keyword(s):  
Population Dynamics ◽  
Spatial Structure ◽  
Periodic Solutions ◽  
Age Dependence

scholarly journals Population dynamics and spatial structure of human-biting mosquitoes, inside and outside of houses, in the Chockwe irrigation scheme, southern Mozambique

2013 ◽  
Vol 7 (2) ◽  
pp. 309 ◽  
Author(s):  
J. Derek Charlwood ◽  
Gracieta A. Macia ◽  
Maria Manhaca ◽  
Bruno Sousa ◽  
Nelson Cuamba ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Spatial Structure ◽  
Irrigation Scheme

scholarly journals Population dynamics with spatial structure and an Allee effect

2020 ◽  
Author(s):  
Anudeep Surendran ◽  
Michael Plank ◽  
Matthew Simpson
Keyword(s):  
Population Dynamics ◽  
Spatial Structure ◽  
Short Range ◽  
Allee Effect ◽  
Mean Field ◽  
Mean Field Approximation ◽  
Continuum Approximation ◽  
Spatial Moment ◽  
Mean Field Models ◽  
The Mean

AbstractAllee effects describe populations in which long-term survival is only possible if the population density is above some threshold level. A simple mathematical model of an Allee effect is one where initial densities below the threshold lead to population extinction, whereas initial densities above the threshold eventually asymptote to some positive carrying capacity density. Mean field models of population dynamics neglect spatial structure that can arise through short-range interactions, such as short-range competition and dispersal. The influence of such non mean-field effects has not been studied in the presence of an Allee effect. To address this we develop an individual-based model (IBM) that incorporates both short-range interactions and an Allee effect. To explore the role of spatial structure we derive a mathematically tractable continuum approximation of the IBM in terms of the dynamics of spatial moments. In the limit of long-range interactions where the mean-field approximation holds, our modelling framework accurately recovers the mean-field Allee threshold. We show that the Allee threshold is sensitive to spatial structure that mean-field models neglect. For example, we show that there are cases where the mean-field model predicts extinction but the population actually survives and vice versa. Through simulations we show that our new spatial moment dynamics model accurately captures the modified Allee threshold in the presence of spatial structure.

scholarly journals Recession of Tussilago farfara (L.) population from the agro coenose as a result of cultivation abandonment. I The effect of fallowing on population dynamics

2014 ◽  
Vol 57 (3) ◽  
pp. 371-386
Author(s):  
Anna Namura-Ochalska
Keyword(s):  
Population Dynamics ◽  
Spatial Structure ◽  
Interspecific Competition ◽  
Population Size ◽  
Dactylis Glomerata ◽  
Tussilago Farfara ◽  
Agropyron Repens

The paper evaluates the effect of fallowing on seasonal and multiyear dynamics, as well as on the spatial structure of <em>Tussilago farfara</em> population. In four years turfing and rapid increase in the size of grass populations - those of <em>Agropyron repens</em> (L.) PB. and <em>Dactylis glomerata</em> caused the elimination of <em>Tussilago farfara</em> population. The studies have showed that a decrease in the population size resulted from hampering of both vegetative and generative reproduction. The interspecific competition for available space seems to be a crucial factor limiting emergence of new shoots. In the agrocoenose big population size of <em>Tussilago farfara</em> remained throughout the studies.

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