Research Article

Mathematical Model Analysis and Simulation of Visceral Leishmaniasis, Kashgar, Xinjiang, 2004–2016

Table 1

Parameter values (and their sources).

ParametersValueInterpretationSource

0.019Intrinsic growth rate of humanCalculated
0.026Intrinsic growth rate of vector[19]
0.296Intrinsic growth rate of reserveAssumption
5000000Human carrying capacityAssumption
7000000Vector carrying capacityAssumption
100000Reserve carrying capacityAssumption
1.35e − 08Transmission probability from an infected sandfly to a susceptible humanFitting
3.565e − 17Transmission probability from an infected human to a susceptible sand flyFitting
3.515e − 05Transmission probability from an infected reserve to a susceptible sandflyFitting
1.23e − 05Transmission probability from an infected sandfly to a susceptible reserveFitting
0.0125Natural mortality rate of human[10]
25.55Natural mortality rate of vector[11]
0.1Natural mortality rate of reserve[12]
0.33Human incubation period[13]
4.015VL-induced death rate of humans[8]
3.65VL-induced death rate of reserve[13]
2.5Recovery period of VL[14]