A new computational model was developed to investigate the probability of fertilization over a range of overdispersion parameters and male gamete exploration rates.

Using historical dengue data from Yucatán, Mexico, a detailed simulation of human and mosquito populations was fit to project future transmission, then efficacy data from vaccine trials was used

Humans travel to and from various malaria transmission settings and contribute to malaria parasite dispersal.

A novel method is presented to compute the exit time for the stochastic simulation alogrithm. The method is based on the addition of random variables and is derived using the convolution theorem.