Table 2 Equation symbols (adapted from Turelli, 2010)

b_I(b_U)

Number of female embryos produced by an I (U) female per day

H

Hatch rate of incompatible crosses (that is, infected sperm with uninfected egg)

I_A,t(1)

Number of I reproductive females at time t in population 1; I_A,t(1)= I_α,t(1)+I_β,t(1)

U_A,t(1)

Number of U reproductive females at time t at population 1; U_A,t(1)=U_α,t(1)+U_β,t(1)

I_E,t (U_E,t)

Number of newly produced I (U) female embryos at time t

I_α,t(I_β,t)

Number of I reproductive females with α (β) mitochondrial background

U_α,t(U_β,t)

Number of U reproductive females with α (β) mitochondrial background at time t

p _t

Frequency of reproductive I females at time t, I_A,t/(I_A,t+U_A,t)

α_I,t(β_I,t)

Frequency of α (β) background in reproductive I females at time t, that is, I_α,t/I_A,t and I_β,t/I_A,t

α_U,t(β_U,t)

Frequency of α (β) background in reproductive U females at time t, that is, U_α,t/U_A,t and U_β,t/U_A,t

s_I(s_U)

Probability of I juvenile (U juvenile) post egg stage becoming a reproductive adult (irrespective of CI)

δ_I(δ_U)

Probability of I (U) eggs surviving to larval stage

τ_I(τ_U)

Average length of the pre-reproductive period for I (U); reproduction begins at τ_I+1 (τ_U+1)

v_I(v_U)

Daily survival rate of I (U) reproductive adults

μ

Probability of an infected female producing uninfected offspring (maternal leakage)

ξ

Probability of paternal transmission of Wolbachia

m

Emigration/immigration rate of mosquitoes between two populations per generation

a, c

Parameters for larval density-dependent mortality

ω

Length (in days) of pre-reproductive period spent as egg

κ

Length (in days) of pre-reproductive period spent as pupae and pre-reproductive adult

b_I(b_U)

Number of female embryos produced by an Infected, I (Uninfected, U) female per day

H

Hatch rate of incompatible crosses (that is, infected male cross with uninfected female)