Propagation of Delayed Lattice Differential Equations without Local Quasimonotonicity
Shuxia Pan
TL;DR
This paper investigates traveling wave solutions and spreading speeds in delayed lattice differential equations lacking quasimonotonicity, establishing conditions for their existence and nonexistence.
Contribution
It introduces new methods to analyze spreading speeds and wave solutions in non-quasimonotone delayed lattice differential equations.
Findings
Spreading speed determined by auxiliary equations
Minimal wave speed established through existence criteria
Traveling wave solutions characterized by existence and nonexistence results
Abstract
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 presenting the existence and nonexistence of traveling wave solutions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Differential Equations and Numerical Methods · Nonlinear Differential Equations Analysis