Existence of traveling wave solutions for influenza model with treatment |
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Authors: | Tianran Zhang Wendi Wang |
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Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China |
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Abstract: | To investigate the spreading speed of influenza and the influence of treatment on the spreading speed, a reaction–diffusion influenza model with treatment is established. The existence of traveling wave solutions is shown by introducing an auxiliary system and applying the Schauder fixed point theorem. The non-existence of traveling wave solutions is proved by a two-sided Laplace transform, which needs a new approach for the prior estimate of exponential decay of traveling wave solutions. |
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Keywords: | Minimal wave speed Schauder's fixed point theorem Two-sided Laplace transform Exponential decay Auxiliary system |
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