Analysis and investigation of complex network immunity waning and two strain dynamical system
DOI:
https://doi.org/10.48165/jmmfc.2026.3108Keywords:
Mathematical modeling, Zika, COVID, Stability, Sensitivity, Newton polynomialAbstract
Some epidemic illnesses, like Zika virus and COVID-19, have several strains of the pathogen, mak ing disease control difficult and leading to complex dynamics. We do not know, however, fully comprehend the dynamic characteristics of interacting numerous strains. Vaccination is the most efficient method of out break control since it reduces the actual amount of illnesses and creates herd immunity. In order to do this, we proposed the two-strain epidemic model, which shows that immunity declines in a complex network and vac cination is not flawless. The critical values are then further determined in order to confirm the global stability of each strain dominant equilibrium point. Proposed mathematical model is investigated by bounded solution, positive and unique solution which are major characteristic of the epidemic model. To confirm the rate of spread under different conditions, the verge condition which incorporates sensitivity analysis is also developed. Caputo fractional operator is utilized for numerical solutions under different fractional values. Lastly, the outcomes of the theoretical study have been seen by numerical simulations for the developed solution. Understanding the dynamics and behaviors of multi-strain epidemics is made easier by the current findings.
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