Monotone iteration scheme and its application to partial differential equation systems with mixed nonlocal and degenerate diffusions
A monotone iteration scheme for traveling waves based on ordered upper and lower solutions is derived for a class of nonlocal dispersal system with delay. Such system can be used to study the competition among nonlocally diffusive species and degenerately diffusive species. An example of such sy...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/51/abstr.html |
| Summary: | A monotone iteration scheme for traveling waves based on ordered upper
and lower solutions is derived for a class of nonlocal dispersal system
with delay. Such system can be used to study the competition among
nonlocally diffusive species and degenerately diffusive species.
An example of such system is studied in detail. We show the existence
of the traveling wave solutions for this system by this iteration scheme.
In addition, we study the minimal wave speed, uniqueness, strict
monotonicity and asymptotic behavior of the traveling wave solutions. |
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| ISSN: | 1072-6691 |