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Title of Journal: Bull Math Biol

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Abbravation: Bulletin of Mathematical Biology

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Springer-Verlag

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DOI

10.1002/vis.4340050105

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1522-9602

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PhenologicallyStructured PredatorPrey Dynamics w

Authors: J David Logan
Publish Date: 2007/09/25
Volume: 70, Issue: 1, Pages: 1-
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Abstract

Studies document the fact that temperature changes strongly affect interactions in many consumerresource systems through altered or shifted phenologies The mistiming of events such as migration or emergence times or the contraction or expansion of development times can upset the normal synchronization and lead to increased or decreased predation events In this paper we formulate a continuous time phenologicallystructured model of predatorprey interactions that is driven by temperature variations It is particularly applicable to arthropod interactions because their development rates are so strongly temperature related The model takes the form of a system of partial differentialintegral equations for the species’ population densities in developmenttime variables In special cases the model is analytically tractable and we find a closedform solution By calculating density variations under different temperature regimes the model gives a quantitative method for assessing the effects of global temperature change on consumerresource interactions


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  1. Parametric Resonance in DNA
  2. Effects of Intrinsic and Extrinsic Noise Can Accelerate Juxtacrine Pattern Formation
  3. A Mathematical Model of the Human Metabolic System and Metabolic Flexibility
  4. A New Method for Calculating Net Reproductive Rate from Graph Reduction with Applications to the Control of Invasive Species
  5. Game Dynamic Model for Yeast Development
  6. The Common Ancestor Process Revisited
  7. Identifying Environmental Determinants of Diurnal Distribution in Marine Birds and Mammals
  8. Diffusion of Finite-Size Particles in Confined Geometries
  9. A Geometric Comparison of Single Chain Multi-State Models of Ion Channel Gating
  10. Model of Prey–Predator Dynamics with Reflexive Spatial Behaviour of Species Based on Optimal Migration
  11. On the Probability of Random Genetic Mutations for Various Types of Tumor Growth
  12. Game Dynamics with Learning and Evolution of Universal Grammar
  13. An Evolutionary Reduction Principle for Mutation Rates at Multiple Loci
  14. Piecewise Linear and Boolean Models of Chemical Reaction Networks
  15. The Impact of Hepatitis A Virus Infection on Hepatitis C Virus Infection: A Competitive Exclusion Hypothesis
  16. Dynamics Analysis of a Multi-strain Cholera Model with an Imperfect Vaccine
  17. Neural Population Modes Capture Biologically Realistic Large Scale Network Dynamics
  18. The Tumor Growth Paradox and Immune System-Mediated Selection for Cancer Stem Cells
  19. Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems
  20. The Dynamics of Growing Islets and Transmission of Schistosomiasis Japonica in the Yangtze River
  21. Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic
  22. Modeling Effect of a γ -Secretase Inhibitor on Amyloid- β Dynamics Reveals Significant Role of an Amyloid Clearance Mechanism
  23. Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold
  24. Chemical Organisation Theory
  25. Global Properties of SIR and SEIR Epidemic Models with Multiple Parallel Infectious Stages

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