Research Publications (Mathematical and Statistical Sciences)

2016-01-01

Goodsman, Devin W., Lewis, Mark A.

Dispersal can push population density below strong Allee thresholds ensuring the demise of small founding populations. As a result, for isolated populations of dispersing organisms, the minimum founding population size that enables establishment can be quite different from the Allee threshold. 2....

2024-05-22

Gao, Shufei, Wang, Hao, Yuan, Sanling

Abstract from Author: "Consumers respond differently to external nutrient changes than producers, resulting in a mismatch in elemental composition between them and potentially having a significant impact on their interactions. To explore the responses of herbivores and omnivores to changes in...

2002

Kim, Surrey, Kouritzin, Michael, Ballantyne, David

Particle-based nonlinear filters have proven to be effective and versatile methods for computing approximations to difficult filtering problems. We introduce a novel hybrid particle method, thought to possess an excellent compromise between the unadaptive nature of the weighted particle methods...

2005-01-01

Fagan, William F., Lewis, Mark A., Neubert, Michael G., Aumann, Craig, Apple, Jennifer L., Bishop, John G.

Here we study the spatial dynamics of a coinvading consumer‐resource pair. We present a theoretical treatment with extensive empirical data from a long‐studied field system in which native herbivorous insects attack a population of lupine plants recolonizing a primary successional landscape...

2018-07-19

Melodie Kunegel-Lion, Devin W. Goodsman, Mark A. Lewis

In this study, we explore how the functional response framework can be imple- mented in pest management. Here, managers take the role of predators foraging on pests and facing monetary costs for survey and control in a spatial domain where the pest distribution and control strategy do not have to...

2018-01-01

Kreitzman, Maayan, Ashander, Jaime, Driscoll, John, Bateman, Andrew W., Chan, Kai M.A., Lewis, Mark A., Krkošek, Martin

Rapid evolution can increase or maintain the provision of ecosystem services, motivating the conservation of wild species and communities. We detail one such contemporary evosystem service by synthesizing theoretical evidence that rapid evolution can sustain parasiticide efficacy in salmon...