A mathematical eco-epidemiological model consisting of harvested prey–predator system involving fear and disease in the prey population is formulated and studied. The prey population is supposed to be separated into two groups: susceptible and infected. The susceptible prey grows logistically, whereas the infected prey cannot reproduce and instead competes for the environment’s carrying capacity. Furthermore, the disease is transferred through contact from infected to susceptible individuals, and there is no inherited transmission. The existence, positivity, and boundedness of the model’s solution are discussed. The local stability analysis is carried out. The persistence requirements are established. The global behavior of the system is investigated with the use of the Lyapunov method. An application to the Sotomoyar theorem of local bifurcation is performed around the equilibrium points. In the end, the system is numerically simulated to confirm our obtained analytical results and specify the control set of parameters. Bifurcation diagrams are used to show the dynamical behavior as a function of some parameters. It is obtained that the prey’s fear stabilizes the system, while the disease and harvest cause extinction in one or more species.
The provisions of the monkey in Islamic jurisprudence
Abstract The League of Arab States took many procedures against the Syrian political system, like suspended Syria's membership in the League of Arab States and sent a team of Arab observers headed by Dabi to discuss the situation there and issued some decisions and statements that called the Syrian regime to stop the use of violence and repression against the Syrian opposition.Through these steps, the Arab League has tried to help the Syrian parties to resolve the crisis. However, the role of the league in the Syrian crisis was characterized by weakness in general, and lack of seriousness, which contributed in the aggravation of the situation in Syria, and the intervention of major powers in the internal affairs of Syria.
This is a brief research in which I tried to briefly explain the care that the Holy Qur’an received during the era of the Prophet, may God bless him and grant him peace, from the Prophet, may God bless him and grant him peace, and all of his honorable companions, may God bless him and grant him peace. I made this research in an introduction and two chapters, the first chapter I made it entitled: About the Holy Qur’an, in which I talked about general investigations about the Holy Qur’an, such as the definition of the Holy Qur’an and the difference between it and the hadith Qudsi and the hadith of the Prophet, then I mentioned a part of the virtues of the Holy Qur’an in general and the virtues of some surahs in particular, and th
... Show MoreThe city of Ghana is one of the important commercial cities in the country of Sudan, as it was a major source of commercial exchanges, and a commercial mediator across the countries of the Maghreb and the metropolises of the countries of Sudan. Many, and most of them take the desert road, Which traders had to endure the hardships of these roads from the insecurity, high winds and dust that sometimes destroyed the trade convoys, in order to obtain gold, which is one of the most important minerals that Ghana traded with various countries, in addition to the different goods that the merchants carried In particular, salt and its trade with Ghana, and also taxes, which were an important financial resource imposed by some gov
... Show MoreIn this article, the types of renewable energies and the environmental effects of consuming these energies are studied. Energy is one of the things necessary for economic and social development and improving the quality of life, and the presence of continuous and sustainable economic energy is essential for any economic development and growth. Humankind has been aware of renewable energies such as biomass and geothermal energy for a long time and has used these energies as heat sources for shelter. With the beginning of the extraction of fossil fuels such as oil and coal and unlimited access to these products, the use of renewable energy sources, except in remote places and forest areas, has become limited and forgotten. Currently in Iraq,
... Show MoreWater drainage pattern in the rivers and changed the nature of the renewed feeding areas
in the basin in terms of topographic and geological conditions and climate in addition to the
human role in organizing the process flow within these basins. This study addressed the
development of the Tigris River Hydrological in the city of Baghdad and found that the
annual rate of water drainage in the Tigris River was driven down very significantly,
especially in the past twenty years, and since 1996 up to 2014 record flow rates of less than
the overall rate of discharge of water, a (950 m3 / s ), in addition to the quarterly decrease the
discharge rates, especially since the beginning of the year 2000 and took converge all fo
The objective of the research is to identify the effect of an instructional design according to the active learning modelsالباحثين in the achievement of the students of the fifth grade, the instructional design was constructed according to the active learning models for the design of education. The research experience was applied for a full academic year (the first & the second term of 2017-2018). The sample consisted of 58 students, 28 students for the experimental group and 30 students for the control group. The experimental design was adopted with partial and post-test, the final achievement test consisted of (50) objectives and essays items on two terms, the validity of the test was verified by the adoption of the Kudoric
... Show MoreThe research sought to demonstrate the effectiveness of monetary policy in banking stability by measuring the impact of monetary policy in the composite index of banking stability in Iraq for the period 2010/2017, as the stability of the financial system is one of the main objectives that the Central Bank is keen to achieve along with other objectives to ensure the performance Effective for all economic units, this is what prompted the central banks to give more attention in ensuring the safety, durability and stability of their financial systems, and the increasing interest by the Central Bank of Iraq in the subject of financial stability stems from its responsibility in ensuring a sound and stable financial system. Maintain it and mini
... Show More