PSPManalysis

The software package PSPManalysis implements numerical procedures for the demographic, bifurcation and evolutionary analysis of physiologically structured population models (PSPMs), which is a class of models that consistently translates continuous-time models of individual life history to the population level. The software package consists of a computational back-end that is implemented in C. For reasons of computational efficiency the user-defined model of individual life history has to be implemented in C as well on the basis of a template provided in the package. After implementing the functions that determine the life history, such as development and mortality rates and fecundity, however, the package can be used for computations in either R or Matlab/Octave, for which interpreted language front-ends are included.


References in zbMATH (referenced in 18 articles )

Showing results 1 to 18 of 18.
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  1. Scarabel, Francesca; Diekmann, Odo; Vermiglio, Rossana: Numerical bifurcation analysis of renewal equations via pseudospectral approximation (2021)
  2. Andò, Alessia; Breda, Dimitri; Scarabel, Francesca: Numerical continuation and delay equations: a novel approach for complex models of structured populations (2020)
  3. Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.: On models of physiologically structured populations and their reduction to ordinary differential equations (2020)
  4. ten Brink, Hanna; de Roos, André M.: Large-amplitude consumer-resource cycles allow for the evolution of ontogenetic niche shifts in consumer life history (2018)
  5. Mirzaev, Inom; Bortz, David M.: A numerical framework for computing steady states of structured population models and their stability (2017)
  6. Sánchez Sanz, Julia; Getto, Philipp: Numerical bifurcation analysis of physiologically structured populations: consumer-resource, cannibalistic and trophic models (2016)
  7. De Roos, André M.; Metz, Johan A. J.; Persson, Lennart: Ontogenetic symmetry and asymmetry in energetics (2013)
  8. Zhang, Lai; Lin, Zhigui; Pedersen, Michael: Effects of growth curve plasticity on size-structured population dynamics (2012)
  9. De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A.: Numerical equilibrium analysis for structured consumer resource models (2010)
  10. Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, Andre M.: Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example (2010)
  11. Muller, Erik B.; Kooijman, Sebastiaan A. L. M.; Edmunds, Peter J.; Doyle, Francis J.; Nisbet, Roger M.: Dynamic energy budgets in syntrophic symbiotic relationships between heterotrophic hosts and photoautotrophic symbionts (2009)
  12. Nakaoka, Shinji; Wang, Wendi; Takeuchi, Yasuhiro: Effect of parental care and aggregation on population dynamics (2009)
  13. De Roos, André M.; Schellekens, Tim; Van Kooten, Tobias; Van De Wolfshaar, Karen; Claessen, David; Persson, Lennart: Simplifying a physiologically structured population model to a stage-structured biomass model (2008)
  14. Diekmann, O.; Getto, Ph.: Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations (2005)
  15. Foryś, U.: Global stability for a class of delay differential equations. (2004)
  16. Claessen, David; de Roos, André M.: Bistability in a size-structured population model of cannibalistic fish -- a continuation study (2003)
  17. Diekmann, O.; Gyllenberg, M.; Metz, J. A. J.: Steady-state analysis of structured population models (2003)
  18. Kirkilionis, Markus A.; Diekmann, Odo; Lisser, Bert; Nool, Margreet; Sommeijer, Ben; de Roos, Andre M.: Numerical continuation of equilibria of physiologically structured population models. I: Theory (2001)