%0 Journal Article %1 noauthororeditor %A Kobe, Fekadu Tadege %D 2019 %J International Journal of Trend in Scientific Research and Development %K Applied Backward Basic Endemic Existence Malaria Mathamatics Stability analysis bifurcation equilibrium number of point reproduction %N 6 %P 151-162 %T SEIR Model and Simulation for Controlling Malaria Diseases Transmission without Intervention Strategies %U https://www.ijtsrd.com/mathemetics/applied-mathamatics/25235/seir-model-and-simulation-for-controlling-malaria-diseases-transmission-without-intervention-strategies/fekadu-tadege-kobe %V 3 %X In this study we have develop a basic deterministic mathematical model to investigate SEIR Model and Simulation for controlling malaria Diseases Transmission without Intervention Strategies. The model has seven non linear differential equations which describe the spread of malaria with three state variables for mosquitoes populations and four state variables for humans population and to introduce the model without intervention strategies. The models are analyzed qualitatively to determine criteria for control of a malaria transmission, and are used to calculate the basic reproduction R 0. The equilibria of malaria models are determined. In addition to having a disease free equilibrium, which is locally asymptotically stable when the R 0 1, the basic malaria model manifest ones possession of a quality of the phenomenon of backward bifurcation where a stable disease free equilibrium co exists at the same time with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The results also designing the effects of some model parameters, the infection rate and biting rate. The numerical analysis and numerical simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of malaria were suggest to use insecticide treated bed nets, indoor residual spraying, prompt effective diagnosis and treatment of infected individuals. Fekadu Tadege Kobe "SEIR Model and Simulation for Controlling Malaria Diseases Transmission without Intervention Strategies" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-6 , October 2019, URL: https://www.ijtsrd.com/papers/ijtsrd25235.pdf Paper URL: https://www.ijtsrd.com/mathemetics/applied-mathamatics/25235/seir-model-and-simulation-for-controlling-malaria-diseases-transmission-without-intervention-strategies/fekadu-tadege-kobe

@article{noauthororeditor, abstract = {In this study we have develop a basic deterministic mathematical model to investigate SEIR Model and Simulation for controlling malaria Diseases Transmission without Intervention Strategies. The model has seven non linear differential equations which describe the spread of malaria with three state variables for mosquitoes populations and four state variables for humans population and to introduce the model without intervention strategies. The models are analyzed qualitatively to determine criteria for control of a malaria transmission, and are used to calculate the basic reproduction R 0. The equilibria of malaria models are determined. In addition to having a disease free equilibrium, which is locally asymptotically stable when the R 0 1, the basic malaria model manifest ones possession of a quality of the phenomenon of backward bifurcation where a stable disease free equilibrium co exists at the same time with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The results also designing the effects of some model parameters, the infection rate and biting rate. The numerical analysis and numerical simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of malaria were suggest to use insecticide treated bed nets, indoor residual spraying, prompt effective diagnosis and treatment of infected individuals. Fekadu Tadege Kobe "SEIR Model and Simulation for Controlling Malaria Diseases Transmission without Intervention Strategies" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-6 , October 2019, URL: https://www.ijtsrd.com/papers/ijtsrd25235.pdf Paper URL: https://www.ijtsrd.com/mathemetics/applied-mathamatics/25235/seir-model-and-simulation-for-controlling-malaria-diseases-transmission-without-intervention-strategies/fekadu-tadege-kobe }, added-at = {2019-11-14T10:55:46.000+0100}, author = {Kobe, Fekadu Tadege}, biburl = {https://www.bibsonomy.org/bibtex/22bd61938fe16ad6f570f13cc7887418d/ijtsrd}, interhash = {16d25e7bbbac71f1150a7b40416990de}, intrahash = {2bd61938fe16ad6f570f13cc7887418d}, issn = {2456-6470}, journal = {International Journal of Trend in Scientific Research and Development}, keywords = {Applied Backward Basic Endemic Existence Malaria Mathamatics Stability analysis bifurcation equilibrium number of point reproduction}, language = {English}, month = oct, number = 6, pages = {151-162}, timestamp = {2019-11-14T10:55:46.000+0100}, title = {SEIR Model and Simulation for Controlling Malaria Diseases Transmission without Intervention Strategies }, url = {https://www.ijtsrd.com/mathemetics/applied-mathamatics/25235/seir-model-and-simulation-for-controlling-malaria-diseases-transmission-without-intervention-strategies/fekadu-tadege-kobe}, volume = 3, year = 2019 }