August  2015, 20(6): i-iii. doi: 10.3934/dcdsb.2015.20.6i

Preface

1. 

Department of Mathematics, The University of Miami, Coral Gables, FL 33124

2. 

Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300

3. 

Department of Mathematics, Mathematical Bioscience Institute, Ohio State University, Columbus, Ohio 43210

4. 

Department of Mathematics, The University of Miami, P.O. Box 249085, Coral Gables, Florida 33124

Published  June 2015

The movement and dispersal of organisms have long been recognized as key components of ecological interactions and as such, they have figured prominently in mathematical models in ecology. More recently, dispersal has been recognized as an equally important consideration in epidemiology and in environmental science. Recognizing the increasing utility of employing mathematics to understand the role of movement and dispersal in ecology, epidemiology and environmental science, The University of Miami in December 2012 held a workshop entitled ``Everything Disperses to Miami: The Role of Movement and Dispersal in Ecology, Epidemiology and Environmental Science" (EDM).

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Citation: Robert Stephen Cantrell, Suzanne Lenhart, Yuan Lou, Shigui Ruan. Preface. Discrete & Continuous Dynamical Systems - B, 2015, 20 (6) : i-iii. doi: 10.3934/dcdsb.2015.20.6i
References:
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C. Cosner and A. Nevai, Spatial population dynamics in a producer-scrounger model,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1591.   Google Scholar

[3]

G. Dai, R. Ma, H. Wang, F. Wang and K. Xu, Partial differential equations with Robin boundary conditions in online social networks,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1609.   Google Scholar

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T. Galanthay, Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1625.   Google Scholar

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C. C. Horvitz, A. Kop and K. D. Erickson, Time-invariant and stochastic disperser-structured matrix models: Invasion rates of a fleshly-fruited exotic species,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1639.   Google Scholar

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C. Hu, Y. Kuang, B. Li and H. Liu, Spreading speeds and traveling wave solutions in cooperative integral-differential systems,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1663.   Google Scholar

[7]

X. Huo, Modeling of contact tracing in epidemic populations structured by disease age,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1685.   Google Scholar

[8]

W. Ko, I. Ahn and S. Liu, Asymptotical behaviors of a general diffusive consumer-resource model with maturation delay,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1715.   Google Scholar

[9]

Z. Liu, H. Tang and P. Magal, Hopf bifurcation for a spatially and age structured population dynamics,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1735.   Google Scholar

[10]

M. V. Martinez, S. Lenhart and K. A. J. White, Optimal control of integrodifference equations in a pest-pathogen system,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1759.   Google Scholar

[11]

G. Nadin, How does the spreading speed associated with the KPP-Fisher equation depend on random stationary diffusion and reaction terms?,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1785.   Google Scholar

[12]

L. Wang, H. Jiang and Y. Li, Positive steady state solutions of a plant-pollinator model with diffusion,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1805.   Google Scholar

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Y. Wang and D. Zhou, Transversality for time-periodic competitive-cooperative tridiagonal systems,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1821.   Google Scholar

[14]

L. Zhang and Z.-C.Wang, Spatial dynamics of a diffusive predator-prey model with stage structure,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1831.   Google Scholar

show all references

References:
[1]

D. Chan, M. McCombs, S. Boegner, H. J. Ban and S. Robertson, Extinction in discrete, competitive multi-species patch models,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1583.   Google Scholar

[2]

C. Cosner and A. Nevai, Spatial population dynamics in a producer-scrounger model,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1591.   Google Scholar

[3]

G. Dai, R. Ma, H. Wang, F. Wang and K. Xu, Partial differential equations with Robin boundary conditions in online social networks,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1609.   Google Scholar

[4]

T. Galanthay, Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1625.   Google Scholar

[5]

C. C. Horvitz, A. Kop and K. D. Erickson, Time-invariant and stochastic disperser-structured matrix models: Invasion rates of a fleshly-fruited exotic species,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1639.   Google Scholar

[6]

C. Hu, Y. Kuang, B. Li and H. Liu, Spreading speeds and traveling wave solutions in cooperative integral-differential systems,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1663.   Google Scholar

[7]

X. Huo, Modeling of contact tracing in epidemic populations structured by disease age,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1685.   Google Scholar

[8]

W. Ko, I. Ahn and S. Liu, Asymptotical behaviors of a general diffusive consumer-resource model with maturation delay,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1715.   Google Scholar

[9]

Z. Liu, H. Tang and P. Magal, Hopf bifurcation for a spatially and age structured population dynamics,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1735.   Google Scholar

[10]

M. V. Martinez, S. Lenhart and K. A. J. White, Optimal control of integrodifference equations in a pest-pathogen system,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1759.   Google Scholar

[11]

G. Nadin, How does the spreading speed associated with the KPP-Fisher equation depend on random stationary diffusion and reaction terms?,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1785.   Google Scholar

[12]

L. Wang, H. Jiang and Y. Li, Positive steady state solutions of a plant-pollinator model with diffusion,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1805.   Google Scholar

[13]

Y. Wang and D. Zhou, Transversality for time-periodic competitive-cooperative tridiagonal systems,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1821.   Google Scholar

[14]

L. Zhang and Z.-C.Wang, Spatial dynamics of a diffusive predator-prey model with stage structure,, Discrete and Continuous Dynamical Systems B, 20 (2015), 1831.   Google Scholar

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