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Multiple solutions of a model describing cancerous growth

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Abstract

Multiple solutions of a model describing immune surveillance against cancer are studied. The model was proposed by R. Lefever and co-workers. A limit cycle solution and two kinds of wave front solutions are worked out by means of a perturbation method. The problem of nucleation concerning this model is studied by a singular-perturbation technique. In addition, the pulse wave solution is also found by numerical simulations.

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Authors and Affiliations

  1. Department of Physics, Beijing Normal University, Beijing, China

    An-Shen Qi

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  1. An-Shen Qi
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Qi, AS. Multiple solutions of a model describing cancerous growth. Bltn Mathcal Biology 50, 1–17 (1988). https://doi.org/10.1007/BF02459974

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  • DOI: https://doi.org/10.1007/BF02459974

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