Defining and detecting structural sensitivity in biological models: developing a new framework

DOI10.1007/s00285-014-0753-3zbMath1308.34073OpenAlexW2056384806WikidataQ51121453 ScholiaQ51121453MaRDI QIDQ476829

M. W. Adamson, Andrew Yu. Morozov

Publication date: 2 December 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-014-0753-3

zbMATH Keywords

uncertaintysensitivity analysisstructural stabilitylocal bifurcationdelay modelsstructural sensitivityfood web models

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Generic properties, structural stability of dynamical systems (37C20)

Related Items (7)

No sensitivity to functional forms in the Rosenzweig-MacArthur model with strong environmental stochasticity ⋮ Probability bounds analysis for nonlinear population ecology models ⋮ Bifurcation analysis of models with uncertain function specification: how should we proceed? ⋮ Three-Dimensional Bifurcation Analysis of a Predator-Prey Model with Uncertain Formulation ⋮ Impact of fear and habitat complexity in a predator-prey system with two different shaped functional responses: a comparative study ⋮ Bifurcation analysis of the predator-prey model with the Allee effect in the predator ⋮ A More Realistic Formulation of Herd Behavior for Interacting Populations

Cites Work

• Unnamed Item
• Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey
• Impacts of incubation delay on the dynamics of an eco-epidemiological system -- a theoretical study
• Predator-prey models in heterogeneous environment: emergence of functional response
• Predator-mediated competition in the chemostat
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Parametric analysis of the ratio-dependent predator-prey model
• The invisible niche: weakly density-dependent mortality and the coexistence of species
• Dynamic energy budgets in syntrophic symbiotic relationships between heterotrophic hosts and photoautotrophic symbionts
• Emergence of Holling type III zooplankton functional response: bringing together field evidence and mathematical modelling
• Structural sensitivity of biological models revisited
• Enrichment and foodchain stability: the impact of different forms of predator-prey interaction
• Scaling up the predator functional response in heterogeneous environment: when Holling type III can emerge?
• Bifurcations in ecosystem models and their biological interpretation
• When can we trust our model predictions? Unearthing structural sensitivity in biological systems
• Equilibria, stability and excitability in a general class of plankton population models
• Elements of applied bifurcation theory

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