Establish two different type poplation dynamical models and one type eco-epidemiology dynamical model with impulsive effects according to some problems on the management of population dynamics. Some theories and approaches related to continuous dynamics, discrete dynamics, impulsive dynamics, operator theory and numerical simulations are used to investigate dynamical behaviors including the existence of periodic solution, permanence, extinction and stability as well as the effects of pulses and delays on the behaviors of population dynamics.
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