Persistence and extinction in spatial models with a carrying capacity driven diffusion and harvesting

作者: L. Korobenko , Md. Kamrujjaman , E. Braverman

DOI: 10.1016/J.JMAA.2012.09.057

关键词:

摘要: For the reaction–diffusion equation with the general type of growth, diffusion stipulated by the carrying capacity K and harvesting, existence, positivity, persistence, extinction and …

参考文章(36)
MARTÍN OESTERHELD, MARÍA SEMMARTIN, Impact of grazing on species composition: Adding complexity to a generalized model Austral Ecology. ,vol. 36, pp. 881- 890 ,(2011) , 10.1111/J.1442-9993.2010.02235.X
Raymond Pearl, The biology of population growth ,(1925)
R. MACIEL-DE-FREITAS, R. SOUZA-SANTOS, C. T. CODEÇO, R. LOURENÇO-DE-OLIVEIRA, Influence of the spatial distribution of human hosts and large size containers on the dispersal of the mosquito Aedes aegypti within the first gonotrophic cycle Medical and Veterinary Entomology. ,vol. 24, pp. 74- 82 ,(2010) , 10.1111/J.1365-2915.2009.00851.X
T. Hillen, K. J. Painter, A user’s guide to PDE models for chemotaxis Journal of Mathematical Biology. ,vol. 58, pp. 183- 217 ,(2009) , 10.1007/S00285-008-0201-3
Elena Braverman, Reneeta Mamdani, Continuous versus pulse harvesting for population models in constant and variable environment. Journal of Mathematical Biology. ,vol. 57, pp. 413- 434 ,(2008) , 10.1007/S00285-008-0169-Z
Mark S. Boyce, D. J. Daley, Population Tracking of Fluctuating Environments and Natural Selection for Tracking Ability The American Naturalist. ,vol. 115, pp. 480- 491 ,(1980) , 10.1086/283575