A hybrid model of population dynamics with refuge-regime: regularization and self-organization

DOI10.35634/VM230306MaRDI QIDQ6488905

Aleksandr Nikolaevich Kirillov, Aleksandr Mikhaĭlovich Sazonov

Publication date: 20 February 2024

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

zbMATH Keywords

regularizationhybrid systemslimit sets

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Hybrid systems of ordinary differential equations (34A38)

Cites Work

• Unnamed Item
• Periodic solutions of a periodically perturbed Lotka-Volterra equation using the Poincaré-Birkhoff theorem
• The period in the Lotka-Volterra system is monotonic
• Non-smooth ecological systems with a switching threshold depending on the pest density and its rate of change
• Global dynamics for a Filippov epidemic system with imperfect vaccination
• A Filippov system describing the effect of prey refuge use on a ratio-dependent predator-prey model
• Theory of hybrid dynamical systems and its applications to biological and medical systems
• Robust dynamics in minimal hybrid models of genetic networks
• Piecewise affine systems approach to control of biological networks
• A hybrid approach to multi-scale modelling of cancer
• Piecewise affine systems modelling for optimizing hormone therapy of prostate cancer
• Hybrid spiking models
• Hybrid discrete-time neural networks
• A phase-reduced neuro-mechanical model for insect locomotion: feed-forward stability and proprioceptive feedback
• The periods of the Volterra-Lotka system.
• Chattering-Free Digital Sliding-Mode Control With State Observer and Disturbance Rejection
• Mathematical modelling of prostate cancer growth and its application to hormone therapy

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