Abstract
We introduce a tumor model with a tri-trophic level of prey, intermediate predator and top predator in an imprecise environment. The model consists of tumor cells, hunting predator cells, and resting predator cells in a three-dimensional predictable system. We investigated the non-negativity and boundedness of the system's solutions and identified all equilibrium points of the model along with their existence conditions. In the imprecise environment, stability analysis was performed and presented at all of the model system's equilibrium points. We also explain the global simulation study of such equilibrium position using an appropriate Lyapunov function. Detailed numerical simulations to investigate the dynamical behavior of the model are performed.
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Paul, S., Mahata, A., Mukherjee, S., Mali, P.C., Roy, B. (2022). Mathematical Model for Tumor-Immune Interaction in Imprecise Environment with Stability Analysis. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_79
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DOI: https://doi.org/10.1007/978-3-030-99792-2_79
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