Carrero · Mathematical biosciences and engineering : MBE 2022 · mathematical modeling study · n=?

A mathematical model for the dynamics of happiness.

Cited 12 times in the scientific literature.

Level 5 - mechanism / opinion, no new human data

Level 5 by design analogy (theoretical mathematical modeling without empirical human data).

PubMed 35135239 · doi:10.3934/mbe.2022094 · record verified 2026-08-31

What was done

The authors developed a theoretical mathematical model using a system of nonlinear ordinary differential equations to simulate the dynamics of an individual's happiness over time. The model integrates theoretical assumptions from positive psychology regarding hedonic and eudaimonic dimensions of well-being.

What was found

The abstract reports no empirical data or numerical statistics. Mathematically, the model reproduces the oscillation of the hedonic treadmill around a homeostatic baseline and shows that lasting happiness can be achieved via dynamical bifurcations driven by constant eudaimonic emotions or altruistic traits.

Why it matters

The study offers a formal dynamic systems framework to explain how eudaimonic well-being might mathematically transcend the boundaries of homeostatic hedonic adaptation.

Limits

The work is entirely theoretical and mathematical, lacking empirical human participant data, validation against longitudinal psychological measurements, or calibration of model parameters with real-world populations.

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