Transitions induced by time delays and cross-correlated sine-Wiener noises in a tumor-immune system interplay

► Tumor-immune system interplay with time delays and cross-correlated noises is investigated. ► Probability distribution transfers from bimodal to unimodal as the reaction time increases. ► As correlation time increases, probability distribution transfers from unimodal to bimodal. ► As the correlated intensity increases, the transitions are suppressed.