#### Filter Results:

- Full text PDF available (34)

#### Publication Year

1984

2017

- This year (1)
- Last 5 years (6)
- Last 10 years (14)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Method

Learn More

- Derek A T Cummings, Ira B. Schwartz, Lora Billings, Leah B. Shaw, Donald S. Burke
- Proceedings of the National Academy of Sciencesâ€¦
- 2005

Antibody-dependent enhancement (ADE), a phenomenon in which viral replication is increased rather than decreased by immune sera, has been observed in vitro for a large number of viruses of publicâ€¦ (More)

- Lora Billings, Ira B. Schwartz
- Journal of mathematical biology
- 2002

In this paper, we identify a mechanism for chaos in the presence of noise. In a study of the SEIR model, which predicts epidemic outbreaks in childhood diseases, we show how chaotic dynamics can beâ€¦ (More)

- Ira B. Schwartz, Leah B. Shaw, Derek A T Cummings, Lora Billings, Marie McCrary, Donald S. Burke
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

Multistrain diseases are diseases that consist of several strains, or serotypes. The serotypes may interact by antibody-dependent enhancement (ADE), in which infection with a single serotype isâ€¦ (More)

We derive two models of viral epidemiology on connected networks and compare results to simulations. The differential equation model easily predicts the expected long term behavior by defining aâ€¦ (More)

- Lora Billings, Ira B. Schwartz, Leah B. Shaw, Marie McCrary, Donald S. Burke, Derek A T Cummings
- Journal of theoretical biology
- 2007

This paper investigates the complex dynamics induced by antibody-dependent enhancement (ADE) in multiserotype disease models. ADE is the increase in viral growth rate in the presence of immunity dueâ€¦ (More)

- Leah B. Shaw, Lora Billings, Ira B. Schwartz
- Journal of mathematical biology
- 2007

Multistrain diseases have multiple distinct coexisting serotypes (strains). For some diseases, such as dengue fever, the serotypes interact by antibody-dependent enhancement (ADE), in which infectionâ€¦ (More)

There are few examples in dynamical systems theory which lend themselves to exact computations of macroscopic variables of interest. One such variable is the Lyapunov exponent which measures theâ€¦ (More)

We develop a new collection of tools aimed at studying stochastically perturbed dynamical systems. Specifically, in the setting of bi-stability, that is a two-attractor system, it has previously beenâ€¦ (More)

We investigate the stochastic extinction processes in a class of epidemic models. Motivated by the process of natural disease extinction in epidemics, we examine the rate of extinction as a functionâ€¦ (More)

- Lora Billings, Ira B. Schwartz
- Chaos
- 2008

We consider the approximation of fluctuation induced almost invariant sets arising from stochastic dynamical systems. The dynamical evolution of densities is derived from the stochasticâ€¦ (More)