Rescaled SIR Epidemic Processes Converge to Super-Brownian Motion in Four or More Dimensions

Jieliang Hong, Southern University of Science and Technology, Shenzhen, People's Republic of China

Chapters; 1. Introduction; 2. Proof of the main result; 3. Upper bounds for the collision term; 4. Refined estimates for the collision term; 5. Convergence of the collision term; 6. Convergence of the constant; 7. A lower bound for $\beta _c$ of continuous time SIR epidemics; A. Proofs of Lemmas \refRange{9L2.1}9L2.4; B. Proofs of Lemmas \refRange{9L5.1}9L5.3 and Lemma; C. Proof of Lemma; D. Proofs of Lemmas and