Journal
APPLIED MATHEMATICS LETTERS
Volume 103, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.106174
Keywords
Space-time fractional reaction-diffusion system; Lyapunov function; L-infinity-Bounds; Large time behavior
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Funding
- Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia [D-241-130-1441]
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We obtain L-infinity-Bounds for the solution of a system of time space fractional reaction-diffusion equations modeling the geographical spread of an infectious disease or a rumor or an information within a large but finite population. The analysis is based on the application of the maximum principle to a judicious Lyapunov function. The large time behavior of the solution of the system is also discussed. (C) 2019 Elsevier Ltd. All rights reserved.
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