Numerical simulation of Ebola transmission disease dynamics using fractional derivatives involving real data for more effective prediction

The concept of fractional calculus has proven to be a powerful and effective tool in analyzing mathematical modeling across various disciplines. Ebola creates havoc on humans and animals, causing high mortality rates from severe hemorrhagic fever in humans and destroying wildlife populations, especially great apes and fruit bats. This disrupts ecosystems, threatening biodiversity, and human livelihoods. This study examines Ebola’s impact on humans mathematically, depicting qualitative and computational results for an inclusive understanding. Euler’s numerical method is employed to approximate solutions for different fractional orders, interpreting system behavior graphically. Also, real data comparisons authenticate the model and its applications. Overall judgment shows that the numerical results of the recommended method significantly impact the system behavior.