Geodesic
Propagation of delayed lattice differential equations without local quasimonotonicity
Shuxia Pan1
1Department of Applied Mathematics Lanzhou University of Technology Lanzhou, Gansu 730050, People's Republic of China
Annales Polonici Mathematici, Tome 114 (2015) no. 3, pp. 219-233
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper is concerned with the traveling wave solutions and asymptotic spreading of delayed lattice differential equations without quasimonotonicity. The spreading speed is obtained by constructing auxiliary equations and using the theory of lattice differential equations without time delay. The minimal wave speed of invasion traveling wave solutions is established by investigating the existence and nonexistence of traveling wave solutions.
DOI : 10.4064/ap114-3-3
Keywords: paper concerned traveling wave solutions asymptotic spreading delayed lattice differential equations without quasimonotonicity spreading speed obtained constructing auxiliary equations using theory lattice differential equations without time delay minimal wave speed invasion traveling wave solutions established investigating existence nonexistence traveling wave solutions

Shuxia Pan  1

1 Department of Applied Mathematics Lanzhou University of Technology Lanzhou, Gansu 730050, People's Republic of China 
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Shuxia Pan. Propagation of delayed lattice differential equations without local quasimonotonicity. Annales Polonici Mathematici, Tome 114 (2015) no. 3, pp. 219-233. doi: 10.4064/ap114-3-3

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