Table 1 

List of parameters used in models with definitions 

Parameter 
Definition 


a 
Birth rate 
g 
Uninfected sex ratio (proportion of female offspring) 
b_{0} 
Basal death rate 
s 
Density dependent mortality (constant coefficient of H) 
t 
Time required for one host generation 
ε 
Efficiency of vertical transmission 
θ 
Efficiency of feminisation 
α 
Virulence (viability cost) 
γ 
Rate at which host clears parasite 
λ 
Component of virulence due to vertical transmission (constant coefficient of ε) 
μ 
Efficiency of superinfection 
β 
Rate of horizontal transmission (proportionality constant) 
σ 
Component of virulence due to horizontal transmission (constant coefficient of β) 
H 
Total number of hosts in population 
X_{m} 
Number of uninfected male hosts 
X_{f} 
Number of uninfected female hosts 
Y_{m} 
Number of male hosts infected with parasite 1 
Y_{f} 
Number of female hosts infected with parasite 1 
Z_{m} 
Number of male hosts infected parasite 2 
Z_{f} 
Number of female hosts infected with parasite 2 
K 
Carrying capacity 
H* 
Equilibrium population size 
Y* 
Equilibrium number of hosts infected with parasite 1 
Z* 
Equilibrium number of hosts infected with parasite 2 
y 
Prevalence of parasite 1 
y* 
Equilibrium prevalence of parasite 1 
z 
Prevalence of parasite 2 
z* 
Equilibrium prevalence of parasite 2 
R_{0} 
Basic reproductive rate of uninfected cytotype in uninfected population 
R_{1} 
Basic reproductive rate of parasite 1 
R_{2} 
Basic reproductive rate of parasite 2 


Ironside et al. BMC Evolutionary Biology 2011 11:370 doi:10.1186/1471214811370 