From: Should sex-ratio distorting parasites abandon horizontal transmission?
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 |