Part I: Introduction. The why and how of dynamic modeling ; Basic epidemic models ; Insect dynamics -- Part II: Applications. Malaria and sickle cell anemia ; Encephalitis ; Chagas disease ; Lyme disease ; Chicken pox and shingles ; Toxoplasmosis ; The zebra mussel ; Biological control of pestilence ; Indirect susceptible-infected-resistant models of arboviral encephalitis transmission ; Chaos and pestilence ; Catastrophe and pestilence ; Spatial pestilence dynamics -- Part III: Conclusions. Conclusion