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Oscillation and Stability of Delay Models in Biology pp 293–334Cite as

Logistic Models with Diffusions

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Abstract

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.

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Johann F. Herbart (1776–1841)

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References

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, Tx, USA

    Ravi P. Agarwal

  2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

  3. Department of Mathematics, Mansoura University, Mansoura, Egypt

    Samir H. Saker

Authors
  1. Ravi P. Agarwal
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  2. Donal O’Regan
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  3. Samir H. Saker
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© 2014 Springer International Publishing Switzerland

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Agarwal, R.P., O’Regan, D., Saker, S.H. (2014). Logistic Models with Diffusions. In: Oscillation and Stability of Delay Models in Biology. Springer, Cham. https://doi.org/10.1007/978-3-319-06557-1_6

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