A new international study proposes a mathematical model to understand how emotions and attitudes spread through football communities, opening new avenues for sport psychology and fan engagement strategies.
The research, titled “Propagation of Emotions and Attitudes in Football,” was published in the Journal of Applied Mathematics and Physics on January 27, 2026. The paper, authored by Mamadou Moustapha Diop and Aliou Sonko, introduces a hybrid analytical framework to examine how feelings — from joy and loyalty to frustration and dissent — move through networks of players, fans, and wider communities.
Why This Matters
Football isn’t just a game — it’s a global emotional ecosystem. Fans can experience collective joy after a win, or collective disappointment after a loss, and these moods often ripple through stadiums, social gatherings, and digital platforms.
Recent social science research shows that emotions within fan bases have real effects on behavior, including attendance, engagement, and even economic outcomes for clubs.
What sets this latest research apart is its attempt to mathematically model these emotional flows, treating emotions and attitudes like information waves in complex networks.
Modelling Emotions Like Data
The study builds on concepts from emotional contagion — the idea that feelings can spread from one person to another, consciously or unconsciously — and applies it to football contexts. In psychology, emotional contagion refers to how individuals mimic and adopt others’ expressions and moods, consciously and unconsciously.
By merging this concept with mathematical propagation models, the researchers aim to track how emotional signals move through a crowd or fan base in different matchday scenarios.
The full paper is technical. But the key goal is to reveal patterns, such as how enthusiasm builds and spreads among supporters; how negative feelings, like frustration or anger, might escalate after unfavorable refereeing decisions; and how attitudes — positive or negative — consolidate into broader fan sentiment.
Impact in the Digital Age
This work arrives at a time when football fandom isn’t limited to stadiums. Social media and online platforms have turned every match into a global emotional broadcast, where reactions spread in real time across continents. Studies in digital discourse show that emotional tone can shape online fan engagement, sometimes amplifying negative reactions or buoying positive support long after the final whistle.
Understanding the mechanics of this emotional spread can help leagues, clubs, and fan organizations craft better communication strategies, improve fan experience, and respond to crises — from controversial calls to disappointing results — more effectively.
Next Steps for Research
The authors situate their work amid a growing field that treats sports not merely as physical competition but as a social phenomenon shaped by psychology, digital behavior, and community dynamics.
Future work could connect these mathematical models with empirical data from social media or live spectator behavior, offering even deeper insight into football’s emotional currents.