期刊
NONLINEARITY
卷 26, 期 1, 页码 121-139出版社
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/26/1/121
关键词
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资金
- National Science Council of Taiwan
- National Center for Theoretical Sciences of Taiwan
The purpose of this work is to investigate the existence, uniqueness, monotonicity and asymptotic behaviour of travelling wave solutions for a general epidemic model arising from the spread of an epidemic by oral-faecal transmission. First, we apply Schauder's fixed point theorem combining with a supersolution and subsolution pair to derive the existence of positive monotone monostable travelling wave solutions. Then, applying the Ikehara's theorem, we determine the exponential rates of travelling wave solutions which converge to two different equilibria as the moving coordinate tends to positive infinity and negative infinity, respectively. Finally, using the sliding method, we prove the uniqueness result provided the travelling wave solutions satisfy some boundedness conditions.
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