Structured population dynamics: continuous size and discontinuous stage structures

被引:37
作者
Buffoni, Giuseppe [1 ]
Pasquali, Sara [1 ]
机构
[1] CNR, IMATI, I-20133 Milan, Italy
关键词
population dynamics; continuous and discontinuous structure; Eulerian models; discrete equations;
D O I
10.1007/s00285-006-0058-2
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A nonlinear stochastic model for the dynamics of a population with either a continuous size structure or a discontinuous stage structure is formulated in the Eulerian formalism. It takes into account dispersion effects due to stochastic variability of the development process of the individuals. The discrete equations of the numerical approximation are derived, and an analysis of the existence and stability of the equilibrium states is performed. An application to a copepod population is illustrated; numerical results of Eulerian and Lagrangian models are compared.
引用
收藏
页码:555 / 595
页数:41
相关论文
共 46 条
[1]   HARVESTING, PREDATION AND COMPETITION EFFECTS ON A RED CORAL POPULATION [J].
ABBIATI, M ;
BUFFONI, G ;
CAFORIO, G ;
DICOLA, G ;
SANTANGELO, G .
NETHERLANDS JOURNAL OF SEA RESEARCH, 1992, 30 :219-228
[2]  
Abia LM, 2004, DISCRETE CONT DYN-B, V4, P1203
[3]   Numerical integration of fully nonlinear size-structured population models [J].
Angulo, O ;
López-Marcos, JC .
APPLIED NUMERICAL MATHEMATICS, 2004, 50 (3-4) :291-327
[4]  
[Anonymous], MATH MODELS ECOLOGY
[5]   Individual-based models of copepod populations in coastal upwelling regions: implications of physiologically and environmentally influenced diel vertical migration on demographic success and nearshore retention [J].
Batchelder, HP ;
Edwards, CA ;
Powell, TM .
PROGRESS IN OCEANOGRAPHY, 2002, 53 (2-4) :307-333
[6]  
BELLAGAMBA V, 1989, P CEE IOBC INT S BAL, P91
[7]   STABILITY OF DISCRETE AGE-STRUCTURED AND AGGREGATED DELAY-DIFFERENCE POPULATION-MODELS [J].
BERGH, MO ;
GETZ, WM .
JOURNAL OF MATHEMATICAL BIOLOGY, 1988, 26 (05) :551-581
[8]   A stochastic model for the dynamics of a stage structured population [J].
Buffoni, G ;
Pasquali, S ;
Gilioli, G .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03) :517-525
[9]   A lumped parameter model for acarine predator-prey population interactions [J].
Buffoni, G ;
Gilioli, G .
ECOLOGICAL MODELLING, 2003, 170 (2-3) :155-171
[10]   Size structured populations: Dispersion effects due to stochastic variability of the individual growth rate [J].
Buffoni, G ;
Cappelletti, A .
MATHEMATICAL AND COMPUTER MODELLING, 2000, 31 (4-5) :27-34