Hopf bifurcation in a structured population model for the sexual phase of monogonont rotifers.
We are studying a population of monogonont rotifers in the context of non-linear age-dependent models. In the sexual phase of their reproductive cycle we consider the population structured by age, and composed of three subclasses: virgin mictic females, mated mictic females, and haploid males. The model system has a unique stationary population density which is stable as long as a parameter, related to male-female encounter rate, remains below a critical value. When the parameter increases beyond this critical value, the stationary solution becomes unstable and a stable limit cycle (isolated periodic orbit) appears. The occurrence of this supercritical Hopf bifurcation is shown analytically.
Departament d'Informàtica i Matemàtica Aplicada, Universitat de Girona, Campus Montilivi, E-17071 Girona, Spain. acalsina@ima.udg.es
Angel
A
Calsina
Jordi
J
Ripoll
D000367:Age Factors; D000818:Animals; D005260:Female; D008297:Male; D008954:Models, Biological; D010312:Parthenogenesis / Q000502:physiology; D012098:Reproduction / Q000502:physiology; D012403:Rotifera / Q000254:growth & development* / Q000502:physiology