Bifurcations in discontinuous mathematical models with control strategy for a species

DOI10.3934/mbe.2022071zbMath1489.92020OpenAlexW4205823003MaRDI QIDQ2130203

Christian Cortés García

Publication date: 25 April 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2022071

zbMATH Keywords

stabilitycontrol parameterFilippov systemspseudo-equilibriumgrowth threshold

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities ⋮ Impact of prey refuge in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and linear functional response ⋮ Bifurcations in a Leslie-Gower model with constant and proportional prey refuge at high and low density ⋮ Bifurcations in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and constant prey refuge at low density ⋮ Bifurcations on a discontinuous Leslie-Grower model with harvesting and alternative food for predators and Holling II functional response

Uses Software

• SlideCont

Cites Work

• Generic bifurcations of low codimension of planar Filippov systems
• Mathematical biology. Vol. 1: An introduction.
• Using non-smooth models to determine thresholds for microbial pest management
• Non-smooth plant disease models with economic thresholds
• Global dynamics of non-smooth Filippov pest-natural enemy system with constant releasing rate
• Bifurcations and dynamics of a plant disease system under non-smooth control strategy
• Bifurcation analysis of piecewise smooth ecological models
• Sliding and Crossing Dynamics in Extended Filippov Systems
• One-Parameter Bifurcations in Planar Filippov Systems
• Bifurcaciones en modelo gause depredador - presa con discontinuidad
• Dynamics of a controlled discontinuous computer worm system
• Numerical sliding bifurcation analysis: an application to a relay control system
• SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
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