The stability of nonlinear age-dependent population equation Original Research Article

A kind of size-dependent age-structured single species population equation with a random gestation period is discussed. A generalized population size E, called “the newborn equivalent quantity” is defined. The stability of a positive equilibrium is studied when the control function is chosen to be E. It is proved that if E is unfavorable to both survival and reproduction, the unique positive equilibrium is globally asymptotically stable.