Modelling the transmission dynamics of Nipah virus with optimal control

@article{Omede2020ModellingTT,
  title={Modelling the transmission dynamics of Nipah virus with optimal control},
  author={B. I. Omede and PO Ameh and Andrew Omame and Bolarinwa Bolaji},
  journal={Journal of Mathematical and Computational Science},
  year={2020}
}
  • B. OmedeP. Ameh B. Bolaji
  • Published 7 October 2020
  • Mathematics
  • Journal of Mathematical and Computational Science
A deterministic mathematical model is formulated and analyzed to study the transmission dynamics of Nipah virus both qualitatively and numerically. Existence and stability of equilibria were investigated and the model was rigorously analyzed. We then incorporated time dependent controls on the model, using Pontryagin's Maximum Principle to derive necessary conditions for the optimal control of the disease. We examined various combination strategies so as to investigate the impact of the… 
1 Citations

Third wave of COVID-19: mathematical model with optimal control strategy for reducing the disease burden in Nigeria

The study of COVID-19 pandemic which paralyzed global economy of countries is a crucial research area for effective future planning against other epidemics. Unfortunately, we now have variants of the

References

SHOWING 1-10 OF 47 REFERENCES

A mathematical model for understanding the spread of nipah fever epidemic in Bangladesh

In this paper, a mathematical model for the nipah virus (NiV) infections, commonly known as “nipah fever” in Bangladesh is proposed. The host-pathogen interaction of NiV infection in terms of

Mathematical Model and Optimal Control of New-Castle Disease (ND)

It was established that the combination of efficient vaccination therapy and optimal efficacy of the vaccines are significantly more effective in the infectious productive birds’ population, since the combination reduces the population size of the birds to zero with 9–10 days.

A mathematical analysis for controlling the spread of Nipah virus infection

It has been showed with the numerical simulations that improved personal hygiene and quarantining of infectious individuals are enough to control the spread of NiV and withimproved personal hygiene, it will be more effective and efficient of the two control parameters.

Optimal control and cost-effective analysis of malaria/visceral leishmaniasis co-infection

A deterministic model involving the transmission dynamics of malaria/visceral leishmaniasis co-infection is presented and the results show that the implementation of the strategy combining all the time dependent control variables is the most cost-effective control strategy.

Mathematical analysis of a two-sex Human Papillomavirus (HPV) model

A two-sex deterministic model for Human Papillomavirus (HPV) that assesses the impact of treatment and vaccination on its transmission dynamics is designed and rigorously analyzed and shows that with 70% condom compliance by the male population, administering female vaccine is sufficient for effective control of the disease.

A Mathematical Study of a Model for HPV with Two High-Risk Strains

A new two-sex deterministic model for two strains of human papillomavirus (HPV) infection is designed and rigorously analyzed to gain insights into its transmission dynamics, and it is shown to exhibit the phenomenon of backward bifurcation.

Analysis of a co-infection model for HPV-TB

Nipah virus infection of pigs in peninsular Malaysia.

The authors describe the new disease and provide the epidemiological findings recorded among infected pigs, and the control programmes which were instituted to contain the virus in the national swine herd are outlined.