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Traveling wave fronts of a single species model with cannibalism and nonlocal effect

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  • Zhang, Hong-Tao
  • Li, Li

Abstract

In this paper, we present a single species model with cannibalism and nonlocal effect. The existence of traveling wave fronts connecting the equilibrium 0 to the equilibrium Krr+Kh is proved when the wave speed c≥2r.

Suggested Citation

  • Zhang, Hong-Tao & Li, Li, 2018. "Traveling wave fronts of a single species model with cannibalism and nonlocal effect," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 148-153.
    • Handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:148-153
    DOI: 10.1016/j.chaos.2018.01.038
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    1. Felicia Keesing & Lisa K. Belden & Peter Daszak & Andrew Dobson & C. Drew Harvell & Robert D. Holt & Peter Hudson & Anna Jolles & Kate E. Jones & Charles E. Mitchell & Samuel S. Myers & Tiffany Bogich, 2010. "Impacts of biodiversity on the emergence and transmission of infectious diseases," Nature, Nature, vol. 468(7324), pages 647-652, December.
    2. Li, Li, 2015. "Patch invasion in a spatial epidemic model," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 342-349.
    3. Hu, Jiang-Hong & Xue, Ya-Kui & Sun, Gui-Quan & Jin, Zhen & Zhang, Juan, 2016. "Global dynamics of a predator–prey system modeling by metaphysiological approach," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 369-384.
    4. Li, Li, 2015. "Bifurcation and chaos in a discrete physiological control system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 397-404.
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