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We investigate the temporal and energy characteristics of gain-switched diode-pumped Er-Yb codoped fiber lasers by establishing and solving an experimentally verified numerical model. With a pulsed laser diode pumping at 975 nm and in a proper repetition rate range, the laser exhibits the potential of lasing pulses of several hundred nanoseconds with excellent synchronism at around 1 and 1.5 μm. The energy scaling relation shows that the 1.5-μm emission is dominant at a low-pump-energy regime, while the lasing at 1 μm takes over at a high-pump-energy regime. We also explore the physical mechanism of the laser by studying the output features at different laser configurations to provide references for further relevant experiments.