Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 514, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2022.126283
Keywords
Predator-prey model; Shifting speed; Forced wave; Minimal speed
Categories
Funding
- Ministry of Science and Technology of Taiwan [109-2811-M-032-508, 108-2115-M-032-006-MY3]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2021R1A6A3A01086879]
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This paper discusses the existence and non-existence of forced waves in a shifting environment for a three species predator-prey system. The paper also analyzes the types of forced waves and the minimal shifting speed for each type.
This paper is concerned with the existence and non-existence of forced waves for a three species predator-prey system in a shifting environment. The speed of these forced waves is the same as the shifting speed of the living environment of these species. We assume that their habitat changes to the hostile environment as time increases. This makes all species go extinction eventually. Under certain conditions on parameters, we obtain two different types (front and mixed front-pulse types) forced waves that connecting different constant states and the extinction state. Moreover, we are able to characterize the minimal shifting speed for each mixed front-pulse type forced waves.
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