Limit cycles in the Holling-Tanner model.

Gasull, Armengol, Koolj, Robert E., and Torregrosa, Joan. "Limit cycles in the Holling-Tanner model.." Publicacions Matemàtiques 41.1 (1997): 149-167. <http://eudml.org/doc/41283>.

@article{Gasull1997,
abstract = {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.},
author = {Gasull, Armengol, Koolj, Robert E., Torregrosa, Joan},
journal = {Publicacions Matemàtiques},
keywords = {Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ciclos límite; Teorema estabilidad; location of integral curves; singular points; limit cycles},
language = {eng},
number = {1},
pages = {149-167},
title = {Limit cycles in the Holling-Tanner model.},
url = {http://eudml.org/doc/41283},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Gasull, Armengol
AU - Koolj, Robert E.
AU - Torregrosa, Joan
TI - Limit cycles in the Holling-Tanner model.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 149
EP - 167
AB - 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.
LA - eng
KW - Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ciclos límite; Teorema estabilidad; location of integral curves; singular points; limit cycles
UR - http://eudml.org/doc/41283
ER -