Monolayer ${\mathrm{NiBr}}_2$ exhibits strain-tunable topological magnetism mediated by competing exchange interactions on a triangular lattice. Our first-principles calculations show biaxial strain ($\varepsilon$) controls both the exchange frustration strength $\eta =|J_1/J_3|$ and magnetic anisotropy energy, with Br-driven spin-orbit coupling flipping the magnetic easy axis at $\varepsilon =2\%$. In addition, the spin dynamics simulations reveal how strain-enhanced frustration nucleates domain walls that fragment into high-topological-charge skyrmions ($Q>1$) under out-of-plane magnetic fields. Deterministic switching between skyrmions and bimeron pairs textures emerges via coordinated in-plane/out-of-plane magnetic fields, while a universal topological collapse beyond a magnetic field $B>1.8$ T confirms Zeeman energy dominance. This strain-frustration-anisotropy interplay establishes a control paradigm for exotic spin topologies in two-dimensional magnets.

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• Frustrated magnetism
• Magnetic anisotropy
• Skyrmions
• 2-dimensional systems
• Ferromagnets
• Magnetic semiconductors
• Triangular lattice
• First-principles calculations
• Landau-Lifschitz-Gilbert equation
• Micromagnetic modeling