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Fig. 3 | Malaria Journal

Fig. 3

From: Vector control with driving Y chromosomes: modelling the evolution of resistance

Fig. 3

Deterministic equilibrium as a function of the fitness of the resistant mutation w (for heterozygous females, with fitness w 2 for homozygous females and hemizygous males) and the intrinsic rate of increase of the population (R m ). The population is rescued in the white area, where dotted curves represent the percentage suppression of the total female population size, compared to its size when there is no fitness cost (N 0/2). The population is eliminated in the shaded area under the curve of 100% population suppression (w = w ex , solid black line). For w 1 = 0.627 < w ≤ 1, the resistant mutation tends to fixation, and in the white area the population is rescued (with reduced size equal to \(\frac{{w^{2} R_{m} - 1}}{{w^{2} \gamma }}\)), whereas in the shaded area, the population is eliminated. For 0 < w ≤ w 1, the resistant mutation tends to an intermediate equilibrium, which again rescues the population only in the white area. For R m  ≥ 10.0001, the population is always nonzero, since the Y drive is not sufficient to eliminate the population. Parameters are m = 0.95, u = 10−6

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