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.
ABSTRACT
Naproxen(NPX) imprinted liquid electrodes of polymers are built using polymerization precipitation. The molecularly imprinted (MIP) and non imprinted (NIP) polymers were synthesized using NPX as a template. In the polymerization precipitation involved, styrene(STY) was used as monomer, N,N-methylenediacrylamide (N,N-MDAM) as a cross-linker and benzoyl peroxide (BPO) as an initiator. The molecularly imprinted membranes and the non-imprinted membranes were prepared using acetophenone(AOPH) and di octylphathalate(DOP)as plasticizers in PVC matrix. The slopes and detection limits of the liquid electrodes ranged from)-18.1,-17.72 (mV/decade and )4.0 x 10-
... Show MoreThe relative strength index (RSI) is one of the best known technical analysis indicators; it provides the speculators by prior signals about the future stock’s prices, and because the speculations in shares of companies which listed in the Iraq Stock Exchange have a high degree of risk, like risk of shares prices felling, so the speculators became committed to use some methods to reduce these risks, and one of these methods is the technical analysis by using the relative strength index (RSI) which enable the speculators of choosing the right time for buy and sell the stocks and the right time to enter or leave the market by using the historical rice data. And from here the problem of the research formulated as “Is the using of
... Show MoreA new Schiff base ligand Bis-1,4-di[N-3-(2-hydroxy-1-amino)- acetophenonylidene] benzylidene [L] and its complexes with (Mn(II) ,Co(II) ,Ni(II and Cu(II)) were synthesized . The ligand was prepared in two steps. In the first step a solution of (terphthalaldehyde) in methanol reacts under reflux with (p-aminoacetophenone) to give an intermediate compound [1-[3-({4-[(3-Acetyl-phenylimino)-methyl]-benzylidene}-amino)-phenyl]- ethanone which reacts in the second step with (2-Amino-phenol) giving the mentioned ligand. The complexes were synthesized by addition the corresponding metal salt solution to the solution of the ligand in methanol under reflux in (1:1) metal to ligand ratio. On the basis of, molar conductance, I.R., UV-Vis, HPLC, chlorid
... Show MoreA new Schiff bases ligand 4- ((2-hyolroxy phenylimino) methyl) -2, 6-dimethoxyphenol derived from condensation of 2- amino phenol with 4-hydroxy -3, 5-dimethoxy benzaldehyde have been synthesized and characterized by spectroscopy, spectra, Mass spectrum and elemental microanalysis (C.H.N). Metal Complexes with ions have been also synthesized and characterized spectroscopic methods spectroscopy, flame atomic absorption, molar conductivity measurements and magnetic susceptibility. These studies indicate that the moler ratio for the complexes. The complexes showed characteristics octahedral geometry with the (O,N) ligand coordinated in bidentate mode while with showed square planer. The enzyme activity of the ligand and i
... Show MoreWhen we try to navigate the experiment in search of the repressed and to find the dream of creativity by changing the modularity of the presentation, and the relationship of the characters with the rest of the elements according to a visual vision that reflects the product of the presentation system through the formation of visions and ideas within the textual structure.
We find that the expression of the theatrical act may need to exclude narrative dialogues and turn them into a tangible visual language. Physical and visual expression, and movement review, thus producing a “picture language” through which it is possible to form a new vision, and this is called (image theater), which translates the language of dialogue through lig
The use analysis value chain such information in the provision as financial so information quality meet and satisfy the needs of users such information , particularly investors and lenders as the identification needs financial information and the knowledge as their behavior influenced by that information can be based on the accounting profession to focus on improving their function in order to achieve its goal that satisfying their needs and rationalize their decisions . In accounting thought discovered fertile ground for users preferences as one of the entrances theorising positive which is based on the need to include knowledge on accounting hypothesis that explain the
... Show MoreAbstract: The world witnessed the speed of a dangereuse virus now as Corona or Covid 19, which left many deaths in light of the inability of local and international Heath agencies to find a suitable vaccine to eliminate it and limit its spread, which negatively affected humain life in its various fields, and remains adopting healthy behaviors and habits A healthy Heath is the best solution to face the spread of the epidemic until realistic solutions that eliminate the virus are found.
The concept of power despite its implications unclear and unknown was one of the most standards in international relations ambiguity and lack of clarity, however was more standards important and influential in the conduct of international relations, and since that time until today since that ambiguity in the meaning of power and use it as a factor of international relations factors and drive the engines were very different and irony from case to case and from researcher to another, but it may be classified force as the international status enjoyed by the state in the international ocean and here is a structure formed of forces posed by the state, such as economic and political nature of the political system and military power and concept
... Show MoreDuring his tenure in Iraq, al-Hadjjaj bin Yusif undertook administrative and economic reforms as well as linguistic reform.
The efforts exerted by Abu al-Aswad al-Dawali to control the reading of the Holy Quran were not sufficient, so the melody and error continued and became more pronounced, especially since the letters were written until then without any distinguishing features.
Al- Hadjjaj bin Yusuf realized the seriousness of the continuation of these errors and what he talked with the days of the causes of division and disagreement between the Muslim community ordered his book to put these suspicious characters marks was at the head of the book Nasr bin Asim and Yehi bin Muammar
Recent studies agree that the democratic system in a country can only be established in an atmosphere of political and religious freedom. However, the term democracy and the term freedom have become controversial because their concepts remain multiple and different. Karl Popper is one of the most prominent philosophers in modern Western political thought, and one of the defenders of democracy as opposite to dictatorship. It has defined its function by its ability to restrain the ruling elite and to enforce it to prevent their tendency to tyranny. This can be achieved only in the context of the close relationship between democracy and freedom, so, if there is democracy in the absence of absolute freedom, democracy is a gateway to expandin
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