MAT 3910 - POPULATION DYNAMICS

credits: 3.0
Will cover the concepts and theories used in basic mathematical ecology, the study of population growth and decline. The development will first follow mathematically logical lines covering Malthusian, logistic, and age-dependent growth, with differential, discrete, probabilistic, and (possibly) integral models employed. The consequences predicted by these models are such things as steady states, periodic fluctuations, extinction, chaotic motions, or infestations. Will then look at recorded data and case histories and attempt to decide the appropriateness and weaknesses of the various models. Along with case studies, it is natural to study what the appropriate model tells us about attempting to control a given population, and the expected consequences of such attempts. While there will be no text, I will have on reserve several books and articles from which I will assign readings. These will include An Introduction to Mathematical Ecology by E.C. Peilou, Differential Equations and their Applications, by M. Braunn, and Discrete Dynamical Systems by H. Sandefur. some computer exercises may also be assigned. Method of Instruction: Lecture-discussion, demonstration. Will also make use of such videotapes as are available. Method of Evaluation: Homework will be assigned at least twice a week. There will be one final examination. There should be ample opportunity for the students to do some computer work; some computer exercises may also be assigned.