Journal
NONLINEARITY
Volume 30, Issue 6, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6544/aa6b0a
Keywords
endemic model; lattice dynamical system; upper-lower-solutions; traveling wave
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Funding
- Ministry of Science and Technology of the Republic of China [104-2811-M-032-005, 102-2115-M-032-003-MY3]
- 'Investissements d'Avenir' French Government program [ANR-11-LABX-0033, ANR-11-IDEX-0001-02]
- European Research Council under the European Union's Seventh Framework Programme (FP)/ERC Grant [321186]
- French ANR within the project NONLOCAL [ANR-14-CE25-0013]
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This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the existence of traveling waves connecting the disease-free state to non-trivial leftover concentrations. We also characterize the minimal speed of traveling waves and we prove the non-existence of waves with smaller speeds.
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