Analysis and behavior control of a modified singular prey–predator model
European Journal of Control, ISSN: 0947-3580, Vol: 49, Page: 107-115
2019
- 7Citations
- 2Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
In this paper, a harvested singular prey–predator model is proposed based on governing differential equations, in addition to an algebraic equation. After comparing other nonsingular models with the proposed singular model, its advantages are explained. The model is analyzed and its stability is studied. This model has singularity induced bifurcation (SIB) points causing various complexities in the behavior of the model. We suggest a state feedback controller, which eliminates one of the SIB points, to stabilize the singular model system around an interior equilibrium. Then, the local stability of the system is studied by the Lyapunov nonlinear method. Finally, the results are numerically simulated to verify our analytical approach.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0947358018303467; http://dx.doi.org/10.1016/j.ejcon.2019.01.001; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85061700591&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0947358018303467; https://dx.doi.org/10.1016/j.ejcon.2019.01.001
Elsevier BV
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