Theory and Modern Applications
From: A co-infection model of dengue and leptospirosis diseases
Parameter | Description |
---|---|
Î | Human recruitment rate |
Ω | Dengue vector recruitment rate |
Λ | Leptospirosis vector recruitment rate |
\(\beta _{1}\) | Rate of transmissibility of leptospirosis b/n dengue infected human and leptospirosis vector contact |
\(\alpha _{1}\) | Transmission rate from leptospirosis only infected to the susceptible human population |
\(\alpha _{2}\) | Transmission rate from leptospirosis vector to susceptible human population |
\(\delta _{1}\) | Disease induced death rate of human due to leptospirosis only |
\(\delta _{2}\) | Disease induced death rate of animal due to leptospirosis only |
\(\sigma _{1}\) | Dengue disease waning immunity |
\(\sigma _{2}\) | Leptospirosis disease waning immunity |
\(\sigma _{3}\) | Dengue–leptospirosis disease waning immunity |
μ | Natural death rate of human population |
\(\mu _{vd}\) | Natural death rate of dengue vector |
\(\mu _{vl}\) | Natural death rate of leptospirosis vector |
\(\rho _{1}\) | Transmission rate from dengue only infected human to susceptible dengue vector population |
\(\rho _{2}\) | Transmission rate from leptospirosis only infected human to susceptible leptospirosis vector population |
\(\gamma _{1}\) | Rate of recovery from dengue disease |
\(\gamma _{2}\) | Rate of recovery from dengue disease |
ε | Rate of recovery from dengue–leptospirosis co-infection diseases |
ϱ | Mortality rate related to leptospirosis vector due to the disease |