Mathematical modeling of amoeba-bacteria population dynamics

Fumanelli, Laura (2009) Mathematical modeling of amoeba-bacteria population dynamics. PhD thesis, University of Trento.

PDF - Doctoral Thesis


We present a mathematical model describing the dynamics occurring between two interacting populations, one of amoebae and one of virulent bacteria; it is meant to describe laboratory experiments with these two species in a mathematical framework and help understanding the role of the different mechanisms involved. In particular we aim to focus on how bacterial virulence may affect the dynamics of the system. The model is a modified reaction-diffusion-chemotaxis predator-prey one with a mechanism of redistribution of ingested biomass between amoeboid cells. The spatially homogeneous case is analyzed in detail; conditions for pattern formation are established; numerical simulations for the complete model are performed.

Item Type:Doctoral Thesis (PhD)
Doctoral School:Mathematics
PhD Cycle:XXII
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/05 ANALISI MATEMATICA
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