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Vegetation Patterns in the Hyperbolic Klausmeier Model with Secondary Seed Dispersal

Author

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  • Gabriele Grifò

    (Department of Mathematical, Computer, Physical and Earth Sciences, University of Messina, 98166 Messina, Italy)

Abstract

This work focuses on the dynamics of vegetation stripes in sloped semi-arid environments in the presence of secondary seed dispersal and inertial effects. To this aim, a hyperbolic generalization of the Klausmeier model that encloses the advective downhill transport of plant biomass is taken into account. Analytical investigations were performed to deduce the wave and Turing instability loci at which oscillatory and stationary vegetation patterns arise, respectively. Additional information on the possibility of predicting a null-migrating behavior was extracted with suitable approximations of the dispersion relation. Numerical simulations were also carried out to corroborate theoretical predictions and to gain more insights into the dynamics of vegetation stripes at, close to, and far from the instability threshold.

Suggested Citation

  • Gabriele Grifò, 2023. "Vegetation Patterns in the Hyperbolic Klausmeier Model with Secondary Seed Dispersal," Mathematics, MDPI, vol. 11(5), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1084-:d:1076221
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    References listed on IDEAS

    as
    1. Consolo, Giancarlo & Grifó, Gabriele & Valenti, Giovanna, 2022. "Dryland vegetation pattern dynamics driven by inertial effects and secondary seed dispersal," Ecological Modelling, Elsevier, vol. 474(C).
    2. Ursino, Nadia & Cristina Rulli, M., 2010. "Combined effect of fire and water scarcity on vegetation patterns in arid lands," Ecological Modelling, Elsevier, vol. 221(19), pages 2353-2362.
    3. Consolo, Giancarlo & Valenti, Giovanna, 2019. "Secondary seed dispersal in the Klausmeier model of vegetation for sloped semi-arid environments," Ecological Modelling, Elsevier, vol. 402(C), pages 66-75.
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