Nonlocal competition and logistic growth: patterns, defects and fronts

Details Nonlocal competition and logistic growth: patterns, defects and fronts Nonlocal competition and logistic growth: patterns, defects and fronts

2005-06-22

arxiv.org/abs/nlin/0506046v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.73.011903

Logistic growth of diffusing reactants on spatial domains with long range competition is studied. The bifurcations cascade involved in the transition from the homogenous state to a spatially modulated stable solution is presented, and a distinction is made between a modulated phase, dominated by single or few wavenumbers, and the spiky phase, where localized colonies are separated by depleted region. The characteristic defects in the periodic structure are presented for each phase, together with the invasion dynamics in case of local initiation. It is shown that the basic length scale that controls the bifurcation is the width of the Fisher front, and that the total population grows as this width decreases. A mix of analytic results and extensive numerical simulations yields a comprehensive examination of the possible phases for logistic growth in the presence of nonlocal competition.

Affiliated with

Also associated with

No associations

Rating

Nonlocal competition and logistic growth: patterns, defects and fronts does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlocal competition and logistic growth: patterns, defects and fronts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlocal competition and logistic growth: patterns, defects and fronts will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-480755