Distinct Spreading Speeds in a Lotka–Volterra Cooperative System

Author

Pan, Shuxia

Source

Journal of Mathematics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-10-14

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

This paper deals with the spreading speeds in the classical Lotka–Volterra cooperative system, of which the bounds have been studied earlier.

By introducing an auxiliary cooperative system and constructing an upper solution, we obtain a sufficient condition to confirm two distinct spreading speeds of unknown functions.

Due to the different average moving speeds of different level sets, we find the existence of propagation terraces in such a cooperative system with constant coefficients.

We also present some numerical results to illustrate our results.

American Psychological Association (APA)

Pan, Shuxia. 2020. Distinct Spreading Speeds in a Lotka–Volterra Cooperative System. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188048

Modern Language Association (MLA)

Pan, Shuxia. Distinct Spreading Speeds in a Lotka–Volterra Cooperative System. Journal of Mathematics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1188048

American Medical Association (AMA)

Pan, Shuxia. Distinct Spreading Speeds in a Lotka–Volterra Cooperative System. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188048

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1188048