Preferences help
enabled [disable] Abstract
Number of results
2020 | 143 | 139-154
Article title

Bifurcation and Stability Analysis of the Dynamics of Gonorrhea Disease in the Population

Title variants
Languages of publication
The model was governed by a system of ordinary differential equations; the population into susceptible individuals (S), Exposed individuals (E), infected individuals (I) and Recovered individuals (Q). Theory of positivity and boundedness was used to investigate the well-posedness of the model. Equilibrium solutions were investigated analytically. The basic reproduction number (R0) were calculated using the next generation operator method. Bifurcation analysis and global stability of the model were carried out using centre manifold theory and Lyapunov functions respectively. The effects of parameters such as efficacy of Condom (κ), Effective Contact Rate (β), Compliance of Condom (θ), Progression Rate (ρ) and Treatment Rate (α) on R0 were explored through sensitivity analysis. The possibility of mitigating the spread of gonorrhea in the population has been studied. It can be concluded that parameters representing efficacy of Condom, Effective Contact Rate, Compliance of Condom, Progression Rate and Treatment Rate are significant in reducing the burden of gonorrhea disease in the population.
Physical description
  • Department of Pure and Applied Mathematics, Faculty of Applied Sciences, Ladoke Akintola University of Tehnology, Ogbomoso, Oyo State, Nigeria
  • Department of Pure and Applied Mathematics, Faculty of Applied Sciences, Ladoke Akintola University of Tehnology, Ogbomoso, Oyo State, Nigeria
  • Department of Pure and Applied Mathematics, Faculty of Applied Sciences, Ladoke Akintola University of Tehnology, Ogbomoso, Oyo State, Nigeria
  • [1] K. L. Cooke and J. A. Yorke (1973). Some equations modelling growth processes and gonorrhea epidemics. Math. Biosci. 58, pp. 93-109.
  • [2] R. Ross (1911). The Prevention of Malaria, 2nd ed., with Addendum, John Murray, London
  • [3] Carlos Castillo-Chavez, Wenzhang Huang and Jia Li. Competitive Exclusion in Gonorrhea Models and Other Sexually Transmitted Diseases. SIAM Journal on Applied Mathematics Vol. 56, No. 2 (Apr., 1996), pp. 494-508
  • [4] S. Busenberg and C. Castillo-Chavez (1990), On the solution of the two-sex mixing problem, in Proceedings of the International Conference on Differential Equations and Applications to Biology and Population Dynamics, Lecture Notes in Biomathematics 92, S. Busenberg and M. Martelli, eds., Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest, pp. 80-98.
  • [5] A. J. Lotka (1923). Contributions to the analysis of malaria epidemiology. Amer. J. Hygiene, 3, Jan. Supplement.
  • [6] A. Lajmanovich and J. A. Yorke (1976). A deterministic model for gonorrhea in a nonhomoge- neous population. Math. Biosci. 28, pp. 221-236.
  • [7] H. W. Hethcote and J. A. Yorke (1984). Gonorrhea Transmission Dynamics and Control, Lecture Notes in Biomath. 56, Springer-Verlag, New York.
  • [8] Garnett G.P, Mertz K.J, Finelli L. The transmission dynamics of Gonorrhea: modeling the reported behavior of infected patients from Newark, New Jersey. Philosophical Transactions of the Royal Society London, B 1999; 354:787-97.
  • [9] Kretzschmar M, van Duynhoven YT, Severijnen AJ. Modeling prevention strategies for gonorrhea and Chlamydia using stochastic network simulations. Am J Epidemiol. 1996 Aug 1; 144(3): 306-17.
  • [10] Prabhakararao. G., Mathematical modeling of gonorrhea disease a case study with reference to Anantapur district-Andhrapradesh-India, Global Journals Inc. Mathematics and Decision Sciences, Vol 13, 2013.
  • [11] Leung, I. K. C., & Gopalsamy, K. (2012). Dynamics of continuous and discrete time siv models of Gonorrhea transmission. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 19(3), 351-375.
  • [12] Lajmanvovich A and Yorke J.A. A deterministic model for gonorrhea in a Nonhomogeneous population. Mathematical Bioscience 28, 221-236 (1976).
  • [13] Ramakishore R and Pattabhiramacharyulu N. CH. A numerical approach for the spread of gonorrhea in homosexuals. ARPN Journal of Engineering and Applied Sciences vol. 6, no. 6, June 2011.
  • [14] Karnett B. M. Manifestation of gonorrhea and Chlamydia infection. Review of Clinical Signs, May / June 2009, pp 44-48.
  • [15] Benedek T. G. Gonorrhea and the beginning of clinical research ethics. Perspectives in Biology and Medicine, volume 48, number 1 (winter 2005): 54–73
  • [16] Bala M. Antimicrobial resistance in Neissseria gonorrhea south-east Asia. Regional Health Forum vol. 15, number 1, 2011
Document Type
Publication order reference
YADDA identifier
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.