Biological Applications in the Mathematics Curriculum

REFERENCES

• Adler , F. 2005 . Modeling the Dynamics of Life: Calculus and Probability for Life Scientists , 2nd , Pacific Grove, CA : Brooks/Cole Publishing Co .
   Google Scholar
• Allman , E. and Rhodes , J. 2004 . Mathematical Models in Biology: An Introduction , New York : Cambridge University Press .
   Google Scholar
• Caswell , H. 2001 . Matrix Population Models , 2nd , 91 – 92 . Sunderland, MA : Sinauer Associates, Inc .
   Google Scholar
• Clark , C. W. 1990 . Mathematical Bioeconomics: The Optimal Management of Renewable Resources , New York : John Wiley & Sons .
   Google Scholar
• Cohen , J. 1978 . Food Webs and Niche Space , Princeton, NJ : Princeton University Press .
   Google Scholar
• Crowder , L. , Crouse , D. T. , Heppell , S. S. and Martin , T. H. 1994 . Predicting the Impact of Turtle Excluder Devices on Loggerhead Sea Turtle Populations . Ecological Applications , 4 ( 3 ) : 437 – 445 .
   Web of Science ®Google Scholar
• Fister , K. Renee and John , Carl Panetta . 2000 . Optimal Control Applied to Cell-Cycle-Specific Cancer Chemotherapy . SIAM Journal of Applied Mathematics , 60 ( 3 ) : 1059 – 1072 .
   Web of Science ®Google Scholar
• Gan , H. H , Pasquali , S. and Schlick , T. 2003 . Exploring the Repertoire of RNA Secondary Motifs Using Graph Theory: Implications for RNA Design . Nucleic Acids Research , 31 : 2926 – 2943 .
   PubMed Web of Science ®Google Scholar
• Hof , J. and Bevers , M. 2002 . Spatial Optimization in Ecological Applications , New York : Columbia University Press .
   Google Scholar
• Holling , C. S. 1959 . The Characteristics of Simple Types of Predation and Parasitism . Canadian Entomologist , 91 : 385 – 398 .
   Google Scholar
• Holling , C. S. 1959 . The Components of Predation as Revealed by a Study of Small Mammal Predation of the European Pine Sawfly . Canadian Entomologist , 91 : 293 – 320 .
   Google Scholar
• Holling , C. S. 1965 . The Functional Response of Predators to Prey Density and Its Role in Mimicry and Population Regulation . Memoirs of the Entomological Society of Canada , 45 : 1 – 60 .
   Google Scholar
• Holling , C. S. 1966 . The Functional Response of Invertebrate Predators to Prey Density . Memoirs of the Entomological Society of Canada , 47 : 3 – 86 .
   Google Scholar
• Neuhauser , C. 2003 . Calculus for Biology and Medicine , 2nd , Upper Saddle River, NJ : Prentice Hall .
   Google Scholar
• Snow , C. P. 1993 . The Two Cultures , Reissue , New York : Cambridge University Press .
   Google Scholar
• Jung , E , Lenhart , S. and Feng , Z. 2002 . Optimal Control of Treatments in a Two-Strain Tuberculosis Model . Discrete and Continuous Dynamical Systems-Series B , 2 ( 4 ) : 473 – 482 .
   Web of Science ®Google Scholar
• Klebanoff , A. , Minta , S. , Hastings , A. and Clark , T. 1991 . Age-dependent predation model of Black-Footed Ferrets and Prairie Dogs . SIAM Journal Applied Mathematics , 51 ( 4 ) : 1053 – 1073 .
   Web of Science ®Google Scholar
• Kot , M. 2001 . Elements of Mathematical Ecology , New York : Cambridge University Press .
   Google Scholar
• Leslie , P. H. 1945 . On the Use of Matrices in Certain Population Mathematics . Biometrika , 33 : 183 – 212 .
   PubMed Web of Science ®Google Scholar
• May , R. 1976 . Simple Mathematical Models with Very Complicated Dynamics . Nature , 261 : 459
   PubMed Web of Science ®Google Scholar
• Molles , M. C. Jr. 2002 . Ecology: Concepts and Applications , 2nd , Boston : McGraw-Hill .
   Google Scholar
• Morris , W. F. and Doak , D. F. 2002 . Quantitative Conservation Biology: Theory and Practice of Population Viability Analysis , Sunderland, MA : Sinauer Associates .
   Google Scholar
• National Research Council of the National Academies . 2003 . Bio 2010: Transforming Undergraduate Education for Future Research Biologists , Washington, DC : The National Academies Press .
   Google Scholar
• Keyfitz , N. and Murphy , E. M. 1967 . Matrix and Multiple Decrement in Population Analysis . Biometrics , 23 ( 3 ) : 485 – 503 .
   PubMed Web of Science ®Google Scholar
• www.mathsci.appstate.edu/∼kmp/research/PRIMUS.html (www.mathsci.appstate.edu/~kmp/research/PRIMUS.html) Palmer, K. Assignments for undergraduate linear algebra course
   Google Scholar
• Salinas , R. A. , Lenhart , S. and Gross , L. J. 2005 . Control of a Metapopulation Harvesting Model for Black Bears . Natural Resource Modeling. , 18 ( 3 ) : 307 – 321 .
   Google Scholar
• Steen , L. Arthur , ed. 2005 . Math and Bio 2010: Linking Undergraduate Disciplines , Washington, DC : The Mathematical Association of America .
   Google Scholar
• Urban , D. and Keitt , T. 2001 . Landscape Connectivity: A Graph Theoretic Perspective . Ecology , 82 ( 5 ) : 1205 – 1218 .
   Web of Science ®Google Scholar