Stable spatially inhomogeneous periodic solutions for a diffusive Leslie–Gower predator

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Stable spatially inhomogeneous periodic solutions for a diffusive Leslie–Gower predator–prey model

Published:2024-04-07 Issue:3 Volume:70 Page:2541-2567
ISSN:1598-5865
Container-title:Journal of Applied Mathematics and Computing
language:en
Short-container-title:J. Appl. Math. Comput.

Author:

Jiang Heping

Funder

the National Natural Science Foundation of China

the key Projects of Natural Science Research in Colleges and Universities in Anhui Province

the young Backbone Teachers Overseas Study and Research Funding Project in Department of Education in Anhui Province

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s12190-024-02018-2.pdf

Reference51 articles.

1. Berryman, A.A.: The origins and evolution of predator-prey theory. Ecology 73, 1530–1535 (1992)

2. Wollkind, J.D., Logan, J.A.: Temperature-dependent predator-prey mite ecosystem on apple tree foliage. J. Math. Biol. 6, 265–283 (1978)

3. Wollkind, J.D., Collings, J.B., Logan, J.A.: Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Bull. Math. Biol. 50, 379–409 (1988)

4. May, R.M.: Stability and Complexity in Model Ecosystems. Princeton University Press, Princeton, NJ (1978)

5. Leslie, P.H., Gower, J.C.: The properties of a stochastic model for the predator-prey type of interaction between two species. Biometrika 47, 219–234 (1960)

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