For reasons of preserving endangered languages, we propose, in this paper, a novel two-languages competitive model with bilingualism and interlinguistic similarity, where state-dependent impulsive control strategies are introduced. The novel control model includes two control threshold values,...

First vaccination (vaccinate at birth) and pulse vaccination are two methods used to control the spread of diseases as well as the elimination of them. Owing to the seasonal fluctuations in transmission of many diseases, we propose an impulsive SIRS epidemic model with periodic saturation...

We study an impulsive delay differential predator–prey model with Holling type II functional response. The stability of the trivial equilibrium is analyzed by means of impulsive Floquet theory providing a sufficient condition for extinction. Using coincidence degree theory we show the...