We study the critical behavior of the contact process on a homogeneous tree. It is shown that if the degree of the tree is greater than four, then the survival probability θ(λ) behaves like (λ - λc)β with β = 1 when λ is near but above the critical point λc, and the expected infection time χ(λ) behaves like (λc - λ)-γ with γ = 1 when λ is near but below λc. Analogous results for the oriented percolation model are also obtained.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modeling and Simulation
- Applied Mathematics