Erratum: Numerical Equilibrium Analysis for Structured Consumer Resource Models (Bull Math Biol, 72, (2010), 259-297, DOI 10.1007/s11538-009-9445-3);Numerical equilibrium analysis for structured consumer resource models

Bulletin of Mathematical Biology

Volumn 72, Issue 2, 2010, Pages 259-297

  de Roos, A M ^a   Diekmann, O ^b   Getto, P ^c   Kirkilionis, M A ^d  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UTRECHT UNIVERSITY   (Netherlands)

^c BCAM BASQUE CENTER FOR APPLIED MATHEMATICS   (Spain)

^d UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Consumer resource models; Daphnia models; Delay differential equations; Delay equations; Hopf bifurcation; Numerical equilibrium analysis; Renewal equations; Stability boundaries; Structured populations

Indexed keywords

ALGAE; DAPHNIA;

ALGA; ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CHLAMYDOMONAS REINHARDTII; COMPETITIVE BEHAVIOR; DAPHNIA; FEEDING BEHAVIOR; FOOD CHAIN; GROWTH, DEVELOPMENT AND AGING; PHYSIOLOGY; POPULATION DYNAMICS; REPRODUCTION;

ALGAE; ALGORITHMS; ANIMALS; CHLAMYDOMONAS REINHARDTII; COMPETITIVE BEHAVIOR; DAPHNIA; FEEDING BEHAVIOR; FOOD CHAIN; GROWTH AND DEVELOPMENT; MODELS, BIOLOGICAL; POPULATION DYNAMICS; REPRODUCTION;

EID: 77951231760     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-015-0138-9     Document Type: Erratum

References (12)

1. Allgower, E. L., Georg, K., 1990. Numerical Continuation Methods, an Introduction. SCM, vol. 13. Springer, Berlin.
2. de Roos, A. M., 1997. A gentle introduction to models of physiologically structured populations. In: Tuljapurkar, S., Caswell, H. (Eds.), Structured-Population Models in Marine, Terrestrial, and Freshwater Systems, pp. 119-204. Chapman and Hall, New York.
3. de Roos, A. M., Metz, J. A. J., Evers, E., Leipoldt, A., 1990. A size-dependent predator prey interaction: Who pursues whom? J. Math. Biol. 28, 609-643.
4. de Roos, A. M., Diekmann, O., Gyllenberg, M., Metz, J. A. J., Nakaoka, S., 2009. Daphnia revisited. Submitted to J. Math. Biol.
5. Diekmann, O., van Gils, S., Verduyn Lunel, S. M., Walther, H.-O., 1995. Delay Equations, Functional-, Complex-, and Nonlinear Analysis. Springer, New York.
6. Diekmann, O., Getto, P., Gyllenberg, M., 2007. Stability and bifurcation analysis of Volterra functional equations in the light of suns and star. SIAM J. Math. Anal. 39(4), 1023-1069.
7. Hale, J., 1977. Functional Differential Equations. Springer, New York.
8. Hairer, E., Nørsett, S. P., Wanner, G., 1987. Solving Ordinary Differential Equations I. Nonstiff Problems. Springer Series in Computational Mathematics, vol. 8. Springer, Berlin.
9. Kirkilionis, M. A., Diekmann, O., Lisser, B., Nool, M., Sommeijer, B., de Roos, A. M., 2001. Numerical continuation of equilibria of physiologically structured population models. I. Theory. Math. Mod. Meth. Appl. Sci. 11(6), 1101-1127.
10. Kuznetsov, Y. A., 1994. Elements of Applied Bifurcation Theory. Springer, New York.
11. Metz, J. A. J., Diekmann, O. (Eds.), 1986. The Dynamics of Physiologically Structured Populations. Lecture Notes in Biomathematics, vol. 68. Springer, Berlin.
12. Rosenzweig, M. L., 1971. Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science (Wash., DC) 171, 385-387.