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Biased swimming cells do not disperse in pipes as tracers: a population model based on microscale behaviour
Algae dispersion swimming pipe
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2012/5/17
There is much current interest in modelling suspensions of algae and other micro-organisms for biotechnological exploitation, and many bioreactors are of tubular design. Using generalized Taylor dispe...
Edge-Based Compartmental Modeling for Infectious Disease Spread Part III: Disease and Population Structure
Infectious Disease Part III Disease and Population Structure
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2011/9/29
We consider the edge-based compartmental models for infectious disease spread introduced in .These models allow us to consider standard SIR diseases spreading in random populations. In this paper we s...
A Verhulst-Like Two-Species Population Dynamics Model
Verhulst-Like Two-Species Population Dynamics Model
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2010/11/15
The study of a two-species dynamics population model, which includes intraspecific competition to the Lotka-Volterra equation, is presented. Despite being simple, this model presents a very rich behav...
Scaling Function, Universality and Analytical Solutions of Generalized One-Species Population Dynamics Models
Scaling Function Universality Analytical Solutions Generalized One-Species Population Dynamics Models
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2010/11/16
We consider several one-species population dynamics model with finite and infinite carrying capacity, time dependent growth and effort rates and solve them analytically. We show that defining suitable...