Research Activities

Among current research interests are problems in mathmatical ecology, including modeling insect ecophysiology (structured population models, energy budgets, control of digestion processes, nutrient cycling, predation, and ecological stochiometry), and the temperature effects of global climate change on predator-prey interactions.

Complete publication list

• J. D. Logan, 2001. Approximate wave fronts in a class of reaction-diffusion equations , Comm. Appl. Nonl. Analy. 8(2), 23-30. PDF



• J. D. Logan, A. Joern, & W. Wolesensky, 2002. Time, location, and temperature dependence of digestion in simple animal tracts, J. Theoretical Biology 216, 5-18. PDF



• J. D. Logan, 2003. Biological invasions with flux-limited dispersal, Math. Sci. Res. J. 7(3) 47-62. PDF



• J. D. Logan, 2003. Nonlocal advection equations, Int. J. Math. Ed. Sci. Tech 33(2), 271-277. PDF



• J. D. Logan, A. Joern, & W. Wolesensky, 2003. Chemical reactor models of optimal digestion efficiency with constant foraging costs, Ecological Modelling 168, 25-38. PDF



• J. D. Logan, A. Joern, & W. Wolesensky, 2004. Mathematical models of consumer homeostasis control in plant-herbivore dynamics, Mathematical and Computer Modelling 40, 447-456. PDF



• J. D. Logan, A. Joern, & W. Wolesensky, 2004. Control of CNP homeostasis in herbivore consumers through differential assimilation, Bulletin Math. Biology 66(4), 707-725. PDF



• G. Ledder, J. D. Logan, & A. Joern, 2004. Dynamic energy budget models with size-dependent hazard rates, J. Math. Biol. 48(6), 605-622. PDF



• A. Joern, J. D. Logan, & W. Wolesensky, 2005. Effect of global climate change on agricultural pests: possible impacts and dynamics at population, species interaction and community levels. Chapter 13, pages 321-362; In: R. Lal, N. Uphoff, B. A. Stewart, and D.O. Hansen (eds.), Climate Change and Global Food Security, CRC Press, Boca Raton, FL.



• W. Wolesensky, A. Joern, & J. D. Logan, 2005. A model of digestion modulation in grasshoppers, Ecological Modelling, 188, 358-373. PDF



• W. Wolesensky & J. D. Logan, 2006. Chemical Reactor Models of Digestion Modulation, Chapter 8: pp 197-247. In: Focus on Ecology Research, A. R. Burk, ed., Nova Science Publishers, Inc., New York. PDF



• J. D. Logan, W. Wolesensky & A. Joern, 2006. Temperature-dependent phenology and predation in arthropod systems, Ecological Modelling 196, 471-482. PDF



• A. Joern, B. J. Danner, J. D. Logan, & W. Wolesensky, 2006. Natural history of mass-action in predator-prey models: A case study from wolf spiders and grasshoppers, The American Midland Naturalist 156, 52-64. PDF



• J. D. Logan, W. Wolesensky, & A. Joern, 2007. Insect development under predation risk, variable temperature, and variable food quality, Math. Biosci. and Engineering 4(1), 47-65. PDF



• W. Wolesensky & J. D. Logan, 2007. An individual, stochastic model of growth incorporating random foraging and climate, and state-dependent risk, Math. Biosci. and Engineering 4(1), 67-84. PDF



• J. D. Logan & W. Wolesensky, 2007, An index to measure the effects of temperature change on trophic interactions, Journal of Theoretical Biology 246, 366-376. PDF



• J. D. Logan & W. Wolesensky, 2007. Accounting for temperature in predator functional responses, Natural Resource Modeling 20(4), 549-574. PDF



• J. D. Logan, 2008. Phenologically-structured predator-prey dynamics with temperature dependence, Bull. Math. Biol. 70(1), 1-20. PDF



• J. D. Logan, G. Ledder & W. Wolesensky, 2009. Holling type II functional response for continuous, physiologicall structured models. Journal of Theoretical Biology 259, 373-381. PDF



• J. D. Logan & W. R. Wolesensky, 2009. Mathematical Methods in Biology, John Wiley & Sons, New York.
  
  
• A. Parrott & J. D. Logan, 2010. Effects of temperature variation on TSD in turtle (C. picta) populations, Ecological Modelling 221, 1378-1393. PDF



• J. D. Logan & J. Janovy, 2011. The life cycle and fitness of gregarine (Apicomplexa) parasites, submitted . PDF