Modeling and Simulation Study of the Population Dynamics of Commensal-Host-Parasite System
Geremew Kenassa Edessa,
Boka Kumsa,
Purnachandra Rao Koya
Issue:
Volume 6, Issue 3, June 2018
Pages:
97-108
Received:
30 April 2018
Accepted:
1 June 2018
Published:
5 July 2018
Abstract: This paper deals with the modeling and simulation study of Commensal-host species system together with the inclusion of parasite population. The model comprises of three populations viz. Host, Commensal and Parasite. The Commensal population gets benefit from Host population but the former do not do any harm to the latter. The parasite population gets benefit and also do harm to Host population. However, the Commensal population only harms the parasites. The mathematical model is comprised of a system of three first order non-linear ordinary differential equations. Mathematical analysis of the model is conducted. Positivity and boundedness of the solution have been verified and thus shown that the model is physically meaningful and biologically acceptable. Scaled model is constructed so as to reduce the number of model parameters. Equilibrium points of the model are identified and stability analysis is conducted. Simulation study is conducted in order to support the mathematical analysis. In the present model the Commensal population lies higher and the parasite population lies below respectively the host population. This fact is well supported by the mathematical analysis as well as simulation study. The results of analysis and simulation are presented and discussed lucidly in the text of the paper.
Abstract: This paper deals with the modeling and simulation study of Commensal-host species system together with the inclusion of parasite population. The model comprises of three populations viz. Host, Commensal and Parasite. The Commensal population gets benefit from Host population but the former do not do any harm to the latter. The parasite population g...
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The Impact of Susceptible Human Immigrants on the Spread and Dynamics of Malaria Transmission
Alemu Geleta Wedajo,
Boka Kumsa Bole,
Purnachandra Rao Koya
Issue:
Volume 6, Issue 3, June 2018
Pages:
117-127
Received:
25 May 2018
Accepted:
26 June 2018
Published:
2 August 2018
Abstract: Malaria is one of infectious diseases and has become the most public health issue especially in developing countries. Mathematically, the spread of malaria can be modeled to predict the dynamics of the outbreak of the disease. The present research studies the impact of migration of susceptible population on the dynamics of malaria transmission. In this paper an improved mathematical model is constructed based on a set of reasonable assumptions. Validity of the model is proved by verifying positivity of the solution. Mathematical analysis is carried out including equilibrium point analysis. Basic reproduction number of the model is determined so as to study the effect of migration parameter on the malaria outbreak. It has been observed that the migration parameter is directly proportional to the malaria outbreak. Hence, it is suggested that in order to keep the malaria outbreak under control, the migration parameter is required to be minimized. That is, migration of populations is recommended to reduce so as to reduce the impact of malaria outbreak.
Abstract: Malaria is one of infectious diseases and has become the most public health issue especially in developing countries. Mathematically, the spread of malaria can be modeled to predict the dynamics of the outbreak of the disease. The present research studies the impact of migration of susceptible population on the dynamics of malaria transmission. In ...
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Analysis of Potential of Inbound Tourism for Major Sources of Tourists and Influencing Factors in China
Wenrong Pan,
Ying Liu,
Jiang Tong
Issue:
Volume 6, Issue 3, June 2018
Pages:
128-134
Received:
21 July 2018
Accepted:
1 August 2018
Published:
29 August 2018
Abstract: Since 2015, the inbound visitors of most sources of tourists such as Japan, Russia and Malaysia in China have been on a growing decrease. While the inbound visitors of some sources of tourists such as the United States, Germany and Thailand have only shown some subtle changes. Therefore, China’s inbound tourism is facing an increasingly great downward pressure. On the basis of existing researches, this paper screens indicators in light of the economic development of the source of tourists, the appeal of Chinese culture, the economic and trade exchanges with China and transportation costs in China. In consideration of cultural appeal, this paper establishes a new indicator system to evaluate the potential of inbound tourism of major sources of tourists. It finds out the problems in the process of their development and figures out some solutions in order to improve the competitiveness of China’s tourism. At the same time, this paper utilizes the principal component analysis to evaluate the potential of inbound tourism for nineteen sources of tourists with the help of cross-section data in 2015. It also ranks in a comprehensive way the major influencing factors of their potential of inbound tourism with direct oblimin. The ranking in order of importance is the rate of outbound tourism, the per capita national income, the proportion of the 25-64 age group, the number of Confucius Institutes, the number of overseas students in China, as well as investment in China. The evaluation result shows that South Korea, the United States and India are the sources of tourists with the highest potential in China. These countries such as Singapore, Germany, Russia, the United Kingdom, Australia, Canada, and France have certain potential to be the sources of tourists. Moreover, Philippines, Indonesia, and Mongolia are at the end of the ranking.
Abstract: Since 2015, the inbound visitors of most sources of tourists such as Japan, Russia and Malaysia in China have been on a growing decrease. While the inbound visitors of some sources of tourists such as the United States, Germany and Thailand have only shown some subtle changes. Therefore, China’s inbound tourism is facing an increasingly great downw...
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