Melnikov method to a bacteria-immunity model with bacterial quorum sensing mechanism

DOI10.1016/J.CHAOS.2007.07.079zbMath1197.37130OpenAlexW1966461936MaRDI QIDQ602166

Sumit K. Garg

Publication date: 31 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.07.079

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Physiological, cellular and medical topics (92C99)

Related Items (3)

Stability and sensitive analysis of a model with delay quorum sensing ⋮ Chaos in a magnetic pendulum subjected to tilted excitation and parametric damping ⋮ Melnikov’s criteria, parametric control of chaos, and stationary chaos occurrence in systems with asymmetric potential subjected to multiscale type excitation

Cites Work

• Melnikov analysis of chaos in a simple epidemiological model
• Viral infection model with periodic lytic immune response
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• A simple non-linear model of immune response
• Controlling chaos with periodic parametric perturbations in Lorenz system

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