SIS epidemic attractors in periodic environments

DOI10.1080/17513750701605630zbMath1284.92102OpenAlexW2014605009WikidataQ44865381 ScholiaQ44865381MaRDI QIDQ5407306

John E. Franke, Abdul-Aziz Yakubu

Publication date: 7 April 2014

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513750701605630

zbMATH Keywords

basin of attractionmultiple attractorscompact attractorperiodic dynamical system

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Dynamical aspects of attractors and their bifurcations (37G35) General biology and biomathematics (92B05)

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Effects of prey refuge and predator cooperation on a predator–prey system ⋮ Modeling pulse infectious events irrupting into a controlled context: a SIS disease with almost periodic parameters

Cites Work

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• Global stability of periodic orbits of non-autonomous difference equations and population biology
• Spatially discrete metapopulation models with directional dispersal
• Multiple attractors, saddles, and population dynamics in periodic habitats
• Population models in a periodically fluctuating environment
• Periodic solutions of population models in a periodically fluctuating environment
• Some discrete-time SI, SIR, and SIS epidemic models
• Backward bifurcation in epidemic control
• The effect of periodic habitat fluctuations on a nonlinear insect population model
• Attractors for discrete periodic dynamical systems.
• Multiple attractors and resonance in periodically forced population models
• A simple SIS epidemic model with a backward bifurcation
• Resonant population cycles in temorally fluctuating habitats
• Mathematical approaches for emerging and reemerging infectious diseases: An introduction. Proceedings of a tutorial Introduction to epidemiology and immunology. An overview to the IMA workshop on mathematical approaches for emerging and reemerging infectious diseases: Models, methods and theory. IMA program on mathematics in biology
• Discrete-time S-I-S models with complex dynamics.
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• Periodic difference equations, population biology and the Cushing--Henson conjectures
• Global Dynamics of Some Periodically Forced, Monotone Difference Equations
• Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking
• Discrete-Time SIS EpidemicModel in a Seasonal Environment
• The effect of periodicity in maps
• Simple mathematical models with very complicated dynamics
• Multiple attractors via CUSP bifurcation in periodically varying environments
• A note on the nonautonomous Beverton-Holt model
• Attenuant cycles of population models with periodic carrying capacity
• Chaos
• Periodic dynamical systems in unidirectional metapopulation models
• On the structure of attractors for discrete, periodically forced systems with applications to population models
• Dispersal, disease and life-history evolution

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