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Global stabilization and boundary control of coupled Fisher–Stream equation and application to SIS–Stream model

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Abstract

In this paper, the global stabilization of solutions to the initial-boundary value problem for the coupled model of the Fisher equation and Stream temperature equation (i.e., Fisher–Stream model) is studied. It is shown that under the non-homogeneous Dirichlet condition, the large time behavior of model analytical solutions is controlled by boundary conditions. Promoting to application, we establish similar conclusions in the coupled equation of the SIS model and Stream temperature equation.

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Data available on request from the authors. The data that support this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The authors would like to thank the anonymous referees for their valuable comments and suggestions which help substantially improve the quality of the paper. Wang F was partially supported by the Natural Science Foundation of Hunan Province (No. 2023JJ0007), the National Natural Science Foundation of China (No. 12001064), the Hunan Provincial Research Project on Teaching Reform in Colleges and Universities (No. HNJG-2021-0462), and the National First-class Offline Undergraduate Course Complex Variable Functions and Integral Transformations. Liu Y T and Chen Y X were partially supported by the Postgraduate Research Innovation Project of Hunan Province (No. CX20230928) and the Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Grant No.2017TP1017).

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  1. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 100190, People’s Republic of China

    Fang Wang, Yuting Liu & Yuxue Chen

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Wang, F., Liu, Y. & Chen, Y. Global stabilization and boundary control of coupled Fisher–Stream equation and application to SIS–Stream model. J. Appl. Math. Comput. 71, 279–302 (2025). https://doi.org/10.1007/s12190-024-02226-w

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