Impulsive control in a stage structure population model with birth pulses

Bifurcation analysis of a linear Hamiltonian system with two kinds of impulsive control

“…It follows from (14), (15), and ξ < 0 that a Neimark-Sacker bifurcation occurs at h = − 5 2q and that the bifurcation is supercritical in view of Theorem 3.5.2 [18]. The proof is then completed.…”

“…As far as we know, it is a challenge to investigate theoretically the bifurcation phenomena of the systems under several kinds of impulsive effects at different moments. We obtained the conditions for flip bifurcation in a stage structure population model with birth pulses and impulsive pest management strategy [15]. The Neimark-Sacker bifurcation, which is an important bifurcation, has not been discussed in the system under impulsive effects at different moments.…”

Identification of key amino acid differences between Cyrtorhinus lividipennis and Nilaparvata lugens nAChR α8 subunits contributing to neonicotinoid sensitivity

“…Chemical and biological controls have been studied by many researchers, especially for two species predator-prey system or three-specie food chain system [2][3][4]. Chemical insecticides are considered useful because they can quickly wipe out a significant portion of pest population.…”

The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response

“…Parameter denotes the harvest rate of resource population. For more details of the biological meaning of system (2), we can refer to [14][15][16][17].…”