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Life sciences · Journal article
Wseas Transactions on Biology and Biomedicine · October 26, 2026
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Cancer resistance is shaped by clonal competition and treatment-driven selection. This study develops a coupled evolutionary game model for therapy-sensitive and therapy-resistant tumor cells. Frequency-dependent selection is combined with one-way phenotypic switching and resource-limited tumor growth. The full triangular dynamical system is analyzed. Biological admissibility, equilibrium structure, local stability, and long-term tumor-burden behavior are established. Explicit treatment thresholds classify sensitive dominance, resistant dominance, stable coexistence, and bistability. In the switching-free case, the threshold crossings form boundary transcritical bifurcations. Increasing treatment pressure promotes resistance, whereas a larger resistance cost shifts the transition toward higher treatment levels. Phenotypic switching removes the sensitive-only equilibrium and shifts the resistant-state stability boundary toward lower treatment pressure. Numerical simulations confirm the analytical equilibria for representative parameter regimes, with equilibrium errors below 6 10. A finite-time parameter sweep is also consistent with the derived threshold structure. The model provides a qualitative mathematical framework for understanding how treatment pressure, resistance cost, clonal competition, and phenotypic switching shape cancer resistance.