Have a personal or library account? Click to login
Analysis of Ode Models for Malaria Propagation Cover

Analysis of Ode Models for Malaria Propagation

Acta Marisiensis. Seria Technologica
Volume 17 (2020): Issue 1 (June 2020)
By:
Open Access
|May 2020

References

  1. [1] Blanford, J. I., Blanford, S., Crane, R. G., Mann, M. E., Paaijmans, K. P., Schreiber, K. V. and Thomas, M. B., (2013), Implications of temperature variation for malaria parasite development across Africa, doi: <a href="https://doi.org/10.1038/srep01300.10.1038/srep01300" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1038/srep01300.10.1038/srep01300</a>
    Search in Google ScholarBack to article
  2. [2] Shapiro, L. L. M., Whitehead, S. A. and Thomas, M. B., Quantifying the effects of temperature on mosquito and parasite traits that determine the transmission potential of human malaria, doi: <a href="https://doi.org/10.1371/journal.pbio.2003489.10.1371/journal.pbio.2003489" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1371/journal.pbio.2003489.10.1371/journal.pbio.2003489</a>
    Search in Google ScholarBack to article
  3. [3] Olaniyi, S. and Obabiyi, O. S. (2013), Mathematical Model for Malaria Transmission Dynamics in Human And Mosquito Populations With Nonlinear Forces of Infection, International Journal of Pure and Applied Mathematics, 88 No.1, pp. 125-156, doi:<a href="https://doi.org/10.12732/ijpam." target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.12732/ijpam.</a> v88i1.10.
    Search in Google ScholarBack to article
  4. [4] Ross, R., (1911), The Prevention of Malaria. John Murray, London.
    Search in Google ScholarBack to article
  5. [5] Chitnis, N., Hyman, J. M., and Manore, C.A., (2013), Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever, Biological Dynamics, 7, pp. 11-40, doi: <a href="https://doi.org/10.1080/17513756.2012.733427." target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1080/17513756.2012.733427.</a>
    Search in Google ScholarBack to article
  6. [6] Lashari, A.A., Aly, S., Hattaf, K., Zaman, G., Jung, I.H. and and X. Li (2012), Presentation of Malaria Epidemics Using Multiple Optimal Controls, Journal of Applied Mathematics, 17, doi: <a href="https://doi.org/10.1155/2012/946504.10.1155/2012/946504" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1155/2012/946504.10.1155/2012/946504</a>
    Search in Google ScholarBack to article
  7. [7] Labadin, J., C. Kon, M.L. and Juan, S. F. S., (2009), Deterministic malaria transmission model with acquired immunity, Proceedings of the world Congress on Engineering and Computer Science, II, pp. 1-6.
    Search in Google ScholarBack to article
  8. [8] Grant, C.P., Theory of Ordinary Differential Equations, Brigham Young University.
    Search in Google ScholarBack to article
  9. [9] van den Driessche, P., Watmough, J. (2001), Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Canada10.1016/S0025-5564(02)00108-6
    Search in Google ScholarBack to article
  10. [10] Diekmann, O., Heesterbeek, J. A. P. and Metz, J. A. J. (1990), On the de nition and thecomputation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, Mathematical Biology, 28, pp. 365-382.
    Search in Google ScholarBack to article
  11. [11] Mandal, S., Sarkar, R. R. and Sinha, S. (2011), Mathematical models of malaria - a review, Malaria Journal, 10:20210.1186/1475-2875-10-202316258821777413
    Search in Google ScholarBack to article
  12. [12] Capasso, V. (1993), Mathematical Structures of Epidemic Systems, Springer.<a href="https://doi.org/10.1007/978-3-540-70514-7" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1007/978-3-540-70514-7</a>
    Search in Google ScholarBack to article
  13. [13] Faragó, I., Mincsovics, M. and Mosleh, R. (2018), Reliable numerical modelling of malaria propagation, Application of Mathematics, Springer, 63, No.3, pp. 259-271, doi:<a href="https://doi.org/10.21136/AM.2018.0098-18.10.21136/AM.2018.0098-18" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.21136/AM.2018.0098-18.10.21136/AM.2018.0098-18</a>
    Search in Google ScholarBack to article
  14. [14] Faragó, I. and Dorner, F. (2019), Two Epidemic Propagation Models and Their Properties, Lecture Notes in Computer Science, Springer.<a href="https://doi.org/10.1007/978-3-030-55347-0_18" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1007/978-3-030-55347-0_18</a>
    Search in Google ScholarBack to article
DOI: https://doi.org/10.2478/amset-2020-0007 | Journal eISSN: 2668-4217
Journal RSS Feed
Language: English
Page range: 31 - 39
Published on: May 26, 2020
Published by: University of Medicine, Pharmacy, Science and Technology of Targu Mures
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
Keywords:
Epidemic,
Extended Ross model,
Positivity invariant,
Equilibrium points,
Ross model,
Malaria propagation
Related subjects:
Computer sciences,
Computer sciences, other,
Engineering,
Electrical engineering,
Fundamentals of electrical engineering,
Mechanical engineering,
Fundamentals of mechanical engineering,
Mathematics,
General mathematics

© 2020 Fanni Dorner, Rahele Mosleh, published by University of Medicine, Pharmacy, Science and Technology of Targu Mures
This work is licensed under the Creative Commons Attribution 4.0 License.

Previous articleVolume 17 (2020): Issue 1 (June 2020)Next article