التفاصيل البيبلوغرافية
| العنوان: |
Dynamics for a diffusive prey-predator model with advection and free boundaries. |
| المؤلفون: |
Yong-Gang Zhao, Srivastava, Hari Mohan |
| المصدر: |
Mathematical Methods in the Applied Sciences; 5/15/2024, Vol. 47 Issue 7, p6216-6233, 18p |
| مصطلحات موضوعية: |
ADVECTION, ENDANGERED species, PREDATION, FRONTS (Meteorology) |
| مستخلص: |
This article deals with a free boundary problem of the Lotka-Volterra type prey-predator model with advection in one space dimension. The model considered here may be applied to describe the expanding of an invasive or new predator species adopting a combination of random movement and advection upward or downward along the resource gradient, with the free boundaries representing expanding fronts of predator species. The main purpose of this article is to understand the influence of the advection environment on the dynamics of the model. We provide sufficient conditions for spreading and vanishing of the predator species, and we find a sharp threshold between the spreading and vanishing concerning this model. Moreover, for the case of successful spreading for the predator, we give estimates of asymptotic spreading speeds and nonlocal long-time behavior of the prey and the predator. [ABSTRACT FROM AUTHOR] |
|
Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Full Text Finder