Limit cycles in the Holling-Tanner model.
Gasull, Armengol ; Koolj, Robert E. ; Torregrosa, Joan
Publicacions Matemàtiques, Tome 41 (1997), p. 149-167 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1997-01-01
DMLE-ID : 3819 
@article{urn:eudml:doc:41283,
     title = {Limit cycles in the Holling-Tanner model.},
     journal = {Publicacions Matem\`atiques},
     volume = {41},
     year = {1997},
     pages = {149-167},
     mrnumber = {MR1461648},
     zbl = {0880.34028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41283}
}

Gasull, Armengol; Koolj, Robert E.; Torregrosa, Joan. Limit cycles in the Holling-Tanner model.. Publicacions Matemàtiques, Tome 41 (1997) pp. 149-167. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41283/