Spreading Speed in A Nonmonotone Equation with Dispersal and Delay

Xi-Lan Liu and Shuxia Pan
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Xi-Lan Liu: School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, Shannxi, China
Shuxia Pan: School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, China

Mathematics, 2019, vol. 7, issue 3, 1-9

Abstract: This paper is concerned with the estimation of spreading speed of a nonmonotone equation, which involves time delay and nonlocal dispersal. Due to the time delay, this equation does not generate monotone semiflows when the positive initial value is given. By constructing an auxiliary monotone equation, we obtain the spreading speed when the initial value admits nonempty compact support. Moreover, by passing to a limit function, we confirm the existence of traveling wave solutions if the wave speed equals to the spreading speed, which states the minimal wave speed of traveling wave solutions and improves the known results.

Keywords: asymptotic spreading; auxiliary equation; minimal wave speed (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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