Tumour-Natural Killer and CD8 T Cells Interaction Model with Delay+

The literature suggests that effective defence against tumour cells requires contributions from both Natural Killer (NK) and CD8+ T cells. NK are spontaneously active infected target cells, whereas take some times to activate cell called as cell-specific targeting, kill the virus. interaction between has produced other cell, tumour-specific We illustrate tumour–immune through mathematical modelling by considering cycle. of is described a system delay differential equations, delay, τ represent time taken for reside interphase. stability analysis bifurcation behaviour analysed. established model analysing characteristic equation produce region. region split into two regions, decay growth. By applying Routh–Hurwitz Criteria, trivial interior equilibrium point provides conditions illustrated in map. Numerical simulation carried out show oscillations Hopf Bifurcation, switching found system. result also showed with could suppress since it can increase population This concluded inclusion immune responses (NK-CD8+ cells) consideration gives us deep insight growth helps understand how their interactions contribute