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We consider a model of $n$ non-intersecting squared Bessel processes with onestarting point $a>0$ at time t=0 and one ending point $b>0$ at time $t=T$.After proper scaling, the paths fill out a region in the $tx$-plane. Dependingon the value of the product $ab$ the region may come to the hard edge at 0, ornot. We formulate a vector equilibrium problem for this model, which is definedfor three measures, with upper constraints on the first and third measures andan external field on the second measure. It is shown that the limiting meandistribution of the paths at time $t$ is given by the second component of thevector that minimizes this vector equilibrium problem. The proof is based on asteepest descent analysis for a $4 \times 4$ matrix valued Riemann-Hilbertproblem which characterizes the correlation kernel of the paths at time $t$. Wealso discuss the precise locations of the phase transitions.

Non-intersecting squared Bessel paths with one positive starting and ending point