This paper addresses the challenge that, under China’s current mosquito-control policy for chikungunya——epidemics can still recur and continue to rise. By constructing a vector–host dynamical model that incorporates asymptomatic infections and a screening rate, we derive approximate analytical expressions for the epidemic peak value and peak time, and reveal the intrinsic link between short-term transients and long-term outcomes. Simulations across three scenarios—human-seeded, mosquito-seeded, and joint human–mosquito-seeded—show that (i) even when the vector population is effectively suppressed, asymptomatic carriers can still sustain transmission; (ii) the effect of the screening rate on the peak time is non-monotonic, and there exists a critical threshold that maximizes the delay of the epidemic; and (iii) moderate screening can both suppress the first wave and avoid leaving an excessively large susceptible pool that would amplify subsequent waves. Accordingly, we upgrade the original policy to a strategy for prevention, mitigation, and control——providing theoretical support for chikungunya and other mosquito-borne diseases.

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