This article examines and proposes a dietary chain model with a prey shelter and alternative food sources. It is anticipated that mid-predators' availability is positively correlated with the number of refuges. The solution's existence and exclusivity are examined. It is established that the solution is bounded. It is explored whether all potential equilibrium points exist and are locally stable. The Lyapunov approach is used to investigate the equilibrium points' worldwide stability. Utilizing a Sotomayor theorem application, local bifurcation is studied. Numerical simulation is used to better comprehend the dynamics of the model and define the control set of parameters.

     This research develops a new method based on spectral indices and random forest classifier to detect paddy rice areas and then assess their distributions regarding to urban areas. The classification will be conducted on Landsat OLI images and Landsat OLI/Sentinel 1 SAR data. Consequently, developing a new spectral index by analyzing the relative importance of Landsat bands will be calculated by the random forest. The new spectral index has improved depending on the most three important bands, then two additional indices including the normalized difference vegetation index (NDVI), and standardized difference built-up index (NDBI) have been used to extract paddy rice fields from the data. Several experiments being

We can conclude that version A is substantially genuine while version B is spurious. an Attempt has been made above to show relevance of this to our understanding of the agreement itself .
The central issue of sunna to which recourse was to be had must of course be connected with development of the meaning of the word sunna from the broader (way of Proceeding ) and (generally agreed practice).
Any sweeping judgements about the invalidity of reports transmitted by shiis or supposed shii are out of place. theestablishment of realistic criteria for the appreciation of early sources for Islamic history is subject which is still in Its infancy

Although the profession of a marriage mediator is dominated by a social character, and it is also characterized by its practice in the midst of strict secrecy, because Eastern societies innately reject this method of searching for a life partner. The two parties play a prominent role of the will in the events of legal effects, and the obligations and rights owed by the contracting parties, which leads us to consider the agreement between the mediator and the one who wants to marry going to the purely contractual nature, and thus requires the correct legal adaptation on the contractual relationship that is achieved between the marriage mediator and his clients from Those who want to get married and therefore we will divide this research into

The problem lies in the main research Where the site of this interpretation of the books of interpretation and what is new and how?
The objectives of this research Vjat to give a quick overview of Sheikh Kenon and the qualifications that made him interpreter, as the goal of the research to reveal the method of Sheikh Kenon highlighting what he has and what is new and show.
The researcher used the inductive method to read the whole book and the comparative approach to compare it with others. He also used the critical method to distinguish between the positions of strength and weakness in the book. The most important results are as follows: :
1 - Sheikh Abdullah Kenon language writer familiar with many sciences, such as jurisprude