Limit cycles in the Holling-Tanner model

• Autores: Robert E. Kooij, Joan Torregrosa Arús, Armengol Gasull i Embid
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 1, 1997 (Ejemplar dedicado a: Proceedings of the Symposium on Planar Vector Fields), págs. 149-167
• Idioma: inglés
• Títulos paralelos:
  • Ciclos límites en el modelo Holling-Tanner
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• Resumen

  • This paper deals with the following question: does the asymptotic stability of the positive equilibrium of the Holling-Tanner model imply it is also globally stable? We will show that the answer to this question is negative. The main tool we use is the computation of Poincaré-Lyapunov constants in case a weak focus occurs. In this way we are able to construct an example with two limit cycles.