Approximate Solution of an Infectious Disease Model Applying Homotopy Perturbation Method
Bibliographic record
Abstract
Scientists and engineers have developed the use of Homotopy Perturbation Method (HPM) in non-linear problems since this approach constantly distort the intricate problem being considered into a simple problem, thus making it much less complex to solve. The homotopy perturbation method was initially put forward by He (1999) with further development and improvement (He 2000a, He, 2006). Homotopy, which is as an essential aspect of differential topology involves a coupling of the conventional perturbation method and the homotopy method in topology (He, 2000b). The approach gives an approximate analytical result in series form and has been effectively applied by various academia for various physical systems namely; bifurcation, asymptotology, nonlinear wave equations and Approximate Solution of SIR Infectious Disease Model (Abubakar et al., 2013).
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".