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- W4320020552 abstract "In this paper, a delayed rumor propagation model with a discontinuous control mechanism is investigated. First, we investigate the model’s existence and boundedness. Then, conditions for the existence of the rumor-endemic equilibrium are derived utilizing differential inclusions. We examine the local asymptotic stability and Hopf bifurcation of the rumor-endemic equilibrium when the discontinuous control function is differential at the rumor-endemic equilibrium, considering the delay as the bifurcating parameter. When the discontinuous control function is not differential at the rumor-endemic equilibrium, we investigate the global asymptotically stable rumor-free and rumor-endemic equilibria using the Lyapunov functional technique. We conclude by providing two examples to validate our theoretical predictions. It is demonstrated that delay is a critical system parameter that can result in both Hopf bifurcation and chaos." @default.
- W4320020552 created "2023-02-11" @default.
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- W4320020552 date "2022-12-30" @default.
- W4320020552 modified "2023-09-23" @default.
- W4320020552 title "Stability and Hopf Bifurcation Analyses of a Delayed Rumor Spreading Model and Its Discontinuous Control" @default.
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- W4320020552 doi "https://doi.org/10.1142/s021812742250242x" @default.
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