Qualitative behavior of stage-structured populations: application to structural validation

被引:21
作者
Bernard, O
Souissi, S
机构
[1] Univ Catholique Louvain, CESAME, B-1348 Louvain, Belgium
[2] Univ Paris 06, CNRS, UA 2077, Stn Zool, F-06230 Villefranche Sur Mer, France
关键词
stage-structured models; transient behavior; qualitative study; validation; copepods;
D O I
10.1007/s002850050130
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The transient behavior of a class of nonlinear differential systems representing stage-structured populations is studied. The qualitative dynamics are described in terms of succession of extrema for the state variables, or for the integrated difference between two trajectories. The rules giving the possibilities of extrema are derived, they characterize the classical stage-structured models. These rules can be compared with experiments to validate the structure of the model. An explanation for the disagreement of this transition scheme with some experiments could be an unexpected interaction with another variable. A new model taking the interaction into account thus engenders new transition rules, which are to be compared with experiments. These results are illustrated with experiments on copepods, showing how the qualitative experimental features can help the construction and the validation of the models.
引用
收藏
页码:291 / 308
页数:18
相关论文
共 16 条
[1]   COUPLING IN PREDATOR PREY DYNAMICS - RATIO-DEPENDENCE [J].
ARDITI, R ;
GINZBURG, LR .
JOURNAL OF THEORETICAL BIOLOGY, 1989, 139 (03) :311-326
[2]   TRANSIENT-BEHAVIOR OF BIOLOGICAL LOOP MODELS WITH APPLICATION TO THE DROOP MODEL [J].
BERNARD, O ;
GOUZE, JL .
MATHEMATICAL BIOSCIENCES, 1995, 127 (01) :19-43
[3]  
BERNARD O, 1995, ECC95, V2, P1261
[4]   CONSEQUENCES OF RATIO-DEPENDENT PREDATION FOR STEADY-STATE PROPERTIES OF ECOSYSTEMS [J].
GINZBURG, LR ;
AKCAKAYA, HR .
ECOLOGY, 1992, 73 (05) :1536-1543
[5]   STABLE OSCILLATIONS IN MATHEMATICAL-MODELS OF BIOLOGICAL-CONTROL SYSTEMS [J].
GLASS, L ;
PASTERNACK, JS .
JOURNAL OF MATHEMATICAL BIOLOGY, 1978, 6 (03) :207-223
[6]   EXISTENCE OF PERIODIC-SOLUTIONS FOR NEGATIVE FEEDBACK CELLULAR CONTROL-SYSTEMS [J].
HASTINGS, S ;
TYSON, J ;
WEBSTER, D .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 25 (01) :39-64
[7]   A BIOMASS-BASED MODEL FOR THE SAND LANCE (AMMODYTES-PERSONATUS) IN SETO INLAND SEA, JAPAN [J].
KISHI, MJ ;
KIMURA, S ;
NAKATA, H ;
YAMASHITA, Y .
ECOLOGICAL MODELLING, 1991, 54 (3-4) :247-263
[8]  
Mallet-Paret J., 1990, J. Dyn. Differ. Equ, V2, P367, DOI [10.1007/BF01054041, DOI 10.1007/BF01054041]
[10]  
SEGEL LA, 1988, B MATH BIOL, V50, P579, DOI 10.1016/S0092-8240(88)80057-0