%0 Journal Article %1 Kang201250 %A Kang, Y. %A Castillo-Chavez, C. %D 2012 %J Journal of Biological Dynamics %K Animal Animalia Animals; Biological; Dynamics; Migration; Models, Population Processes, Stochastic animal; article; biological dynamics; migration; model; physiology; population statistics, %N SUPPL.2 %P 50-79 %R http://dx.doi.org/10.1080/17513758.2012.713125 %T Multiscale analysis of compartment models with dispersal %U http://dx.doi.org/10.1080/17513758.2012.713125 %V 6 %X The characterization of the population dynamics of animal populations and dispersal provides the underlying setting of this article. Novel results emerge from our exploration of the role of disease in this context. We focus on the study of the impact of dispersal on the dynamics of populations that account for (a) induced Allee effects; (b) disease dynamics; and (c) spatial heterogeneity, using deterministic and stochastic models. Specifically, the models incorporate disease-driven effects on the individuals' competitive ability to acquire resources as well as on their ability to move or reproduce. The results bring to the forefront the role of initial conditions and patch quality as well as 'topological' structure or connectivity landscape structure (the physical space where individuals move, reproduce, get sick, die, or compete for resources). The emphasis is placed on the dynamics of populations when disease is an important selective force. This article surveys the appropriate literature while including original research. Â\copyright 2012 Copyright Yun Kang.

@article{Kang201250, abstract = {The characterization of the population dynamics of animal populations and dispersal provides the underlying setting of this article. Novel results emerge from our exploration of the role of disease in this context. We focus on the study of the impact of dispersal on the dynamics of populations that account for (a) induced Allee effects; (b) disease dynamics; and (c) spatial heterogeneity, using deterministic and stochastic models. Specifically, the models incorporate disease-driven effects on the individuals' competitive ability to acquire resources as well as on their ability to move or reproduce. The results bring to the forefront the role of initial conditions and patch quality as well as 'topological' structure or connectivity landscape structure (the physical space where individuals move, reproduce, get sick, die, or compete for resources). The emphasis is placed on the dynamics of populations when disease is an important selective force. This article surveys the appropriate literature while including original research. {\^A}{\copyright} 2012 Copyright Yun Kang.}, added-at = {2017-11-10T22:48:29.000+0100}, affiliation = {Applied Sciences and Mathematics, Arizona State University, Mesa, AZ, 85212, United States; Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, 85287-1904, United States; School of Human Evolution and Social Changes and School of Sustainability, Santa Fe Institute, Santa Fe, NM, 87501, United States; Biological Statistics and Computational Biology, Cornell University, Ithaca, NY, 14853-2601, United States}, author = {Kang, Y. and Castillo-Chavez, C.}, author_keywords = {Allee effects; bifurcation; catastrophe; competition; conservation biology; epidemics; infectious disease; mathematical biology; metapopulation model; multiple interior equilibria; reproductive fitness; sustainability}, biburl = {https://www.bibsonomy.org/bibtex/2b3a208a27a46cb539f6513dc93c7a16c/ccchavez}, correspondence_address1 = {Kang, Y.; Applied Sciences and Mathematics, Arizona State University, Mesa, AZ, 85212, United States; email: yun.kang@asu.edu}, date-added = {2017-11-10 21:45:26 +0000}, date-modified = {2017-11-10 21:45:26 +0000}, document_type = {Article}, doi = {http://dx.doi.org/10.1080/17513758.2012.713125}, interhash = {86b3fb6c15c47b0c9e9757643ca8d1ad}, intrahash = {b3a208a27a46cb539f6513dc93c7a16c}, issn = {17513758}, journal = {Journal of Biological Dynamics}, keywords = {Animal Animalia Animals; Biological; Dynamics; Migration; Models, Population Processes, Stochastic animal; article; biological dynamics; migration; model; physiology; population statistics,}, language = {English}, number = {SUPPL.2}, pages = {50-79}, pubmed_id = {22934939}, timestamp = {2017-11-10T22:48:29.000+0100}, title = {Multiscale analysis of compartment models with dispersal}, url = {http://dx.doi.org/10.1080/17513758.2012.713125}, volume = 6, year = 2012 }