Research Publications (Mathematical and Statistical Sciences)

2005-01-01

Pachepsky, E., Lewis, Mark A., Lutscher, F.

Individuals in streams are constantly subject to predominantly unidirectional flow. The question of how these populations can persist in upper stream reaches is known as the “drift paradox.” We employ a general mechanistic movement-model framework and derive dispersal kernels for this situation....

2005-01-01

Frithjof Lutscher, Elizaveta Pachepsky, Mark A. Lewis

Individuals in streams are constantly subject to predominantly unidirectional flow. The question of how these populations can persist in upper stream reaches is known as the “drift paradox.” We employ a general mechanistic movement-model framework and derive dispersal kernels for this situation....

2014-08-28

Campbell, John J.

In this work we will construct the table of irreducible characters for the group of unitary 2 x 2 matrices over a finite field. The table and the methods for its construction will show interesting connections to the table and methods of construction of the table of irreducible characters for the...

2001-01-01

Lewis, Mark A., Owen, Markus R.

High-frequency ventilation isa radical departure from conventional lung ventilation, with frequenciesgreater than 2Hz, and volumesp er breath much smaller than the anatomical deadspace. Its use has been shown to benefit premature infants and patients with severe respiratory distress, but a vital...

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....

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...