Theory and Modern Applications
Table 1 Model parameters, \(i =1,2\), for patch 1 and 2 respectively. The time unit is in weeks
From: Dynamical analysis and control strategies in modelling Ebola virus disease
Definition | Symbol | Baseline values | Source |
|---|---|---|---|
Effective contact rate of human individuals | \(\beta _{I_{i}} \) | 0.16 | [74] |
Effective contact rate of deceased human individuals | \(\beta _{D_{i}} \) | 0.489 | [74] |
Effective contact rate of Ebola virus | \(\beta _{W_{i}}\) | 0.062 | [74] |
Rate of migration from first sub-population to the second sub-population (susceptible) | \(a_{i}\) | (0,0.3) | Assumed |
Rate of migration from first sub population to the second sub population (recovered) | \(b_{i}\) | (0,0.3) | Assumed |
Natural death rate of human individuals | \(\mu _{i}\) | (0,1) | [75] |
Recovery rate of human individuals | \(\phi _{i}\) | 0.018 (0.16–0.202) | [76] |
Disease-induced death rate of human individuals | \(v_{i}\) | 0.5 | [74] |
Decay rate of Ebola virus in the environment | \(r_{i}\) | (0,∞) | |
Shedding rate of infectious human individuals | \(\delta _{i}\) | (0,∞) | Assumed |
Shedding rate of deceased human individuals | \(\rho _{i}\) | (0,∞) | Assumed |
Burial rate of deceased human individuals | \(\alpha _{i}\) | (0,∞) |