Logistic Models with Diffusions

Ravi P. Agarwal, Donal O’Regan and Samir H. Saker
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Ravi P. Agarwal: Texas A&M University-Kingsville, Department of Mathematics
Donal O’Regan: National University of Ireland, School of Mathematics, Statistics and Applied Mathematics
Samir H. Saker: Mansoura University, Department of Mathematics

Chapter Chapter 6 in Oscillation and Stability of Delay Models in Biology, 2014, pp 293-334 from Springer

Abstract: Abstract Population dispersal Population dispersal plays an important role in the population dynamics which arises from environmental and ecological gradients in the habitat. We assume that the systems under consideration are allowed to diffuse spatially besides evolving in time. The spatial diffusion arises from the tendency of species to migrate towards regions of lower population density where the life is better. The most familiar model systems incorporating these features are reaction diffusion equations.

Keywords: Logistic Diffusion Model; Negative Minimum; Nontrivial Continuous Function; Mechanistic Dispersal Model; Volterra Type Model (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-06557-1_6

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