*In Chaos (Woodbury, N.Y.) *

_{λ}) is fixed at zero, an increase in the 1-simplex infection rate of epidemic B (

_{λ}) causes a transition from continuous growth to sharp growth in the spread of epidemic B with

_{λ}. When

_{λ}> 0, the growth of epidemic B is always continuous. With the increase of

_{λ}, the outbreak threshold of epidemic B is delayed. When the difference in 1-simplex infection rates between the two epidemics reaches approximately three times, the stronger side obviously dominates. Otherwise, the coexistence of the two epidemics is always observed. When the 1-simplex infection rates are symmetrical, the increase in competition will accelerate the spread process and expand the spread area of both epidemics; when the 1-simplex infection rates are asymmetrical, the spread area of one epidemic increases with an increase in the 1-simplex infection rate from this epidemic while the other decreases. Finally, the influence of 2-simplex infection rates on the competing spread is discussed. An increase in 2-simplex infection rates leads to sharp growth in one of the epidemics.

*Li Wenjie, Nie Yanyi, Li Wenyao, Chen Xiaolong, Su Sheng, Wang Wei*

*2022-Sep*