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International Journal of Biomathematics 2019年第4期12卷 185-213页

作者： Muhammad Aqib Abbasi Qamar Din department of mathematics university of the poonch rawalakot Pakistan

The interaction between predators and preys exhibits more complicated behavior under the influence of crowding effects. By taking into account the crowding effects, the qualitative behavior of a prey-predator model is investigated. Particularly, we examine the boundedness as well as existence and uniqueness of positive steady-state and stability analysis of the unique positive steady-state. Moreover, it is also proved that the system undergoes Hopf bifurcation and flip bifurcation with the help of bifurcation theory. Moreover, a chaos control technique is proposed for controlling chaos under the influence of bifurcations. Finally, numerical simulations are provided to illustrate the theoretical results. These results of numerical simulations demonstrate chaotic long-term behavior over a broad range of parameters. The presence of chaotic behavior in the model is confirmed by computing maximum Lyapunov exponents.

关键词： Prey-predator model stability analysis boundedness flip bifurcation Hopfbifurcation chaos control

Qualitative behavior of a discrete SIR epidemic model

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International Journal of Biomathematics 2016年第6期9卷 225-239页

作者： Qamar Din department of mathematicsThe university of poonch rawalakot rawalakot 12350 Pakistan

In this paper, we study the qualitative behavior of a discrete-time epidemic model. More precisely, we investigate equilibrium points, asymptotic stability of both disease^free equilibrium and the endemic equilibrium. Furthermore, by using comparison method, we obtain the global stability of these equilibrium points under certain parametric con- ditions. Some illustrative examples are provided to support our theoretical discussion.

关键词： Discrete epidemic model steady-states local asymptotic stability globalbehavior.

On new classes of strongly Janowski type functions of complex order

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Applied mathematics(A Journal of Chinese Universities) 2023年第1期38卷 89-99页

作者： Khalil Ahmad Khudija Bibi M.Sajjad Shabbir department of mathematics Air UniversityPAF-ComplexSector E-9IslamabadPakistan department of mathematics Faculty of Basic and AppliedInternational Islamic University IslamabadPakistan department of mathematics University of Poonch RawalakotAzad Kashmir 12350Pakistan

We investigate some new subclasses of analytic functions of Janowski type of complex *** also study inclusion properties,distortion theorems,coefficient bounds and radius of convexity of the ***,analytic properties of these classes under certain integral operator are also *** findings are more comprehensive than the existing results in the literature.

关键词： subordination Janowski function starlike function convex function complex order

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Communications in Theoretical Physics 2021年第6期73卷 158-166页

作者： Ammarah Raees Umer Farooq Muzamil Hussain Waseem Asghar Khan Fozia Bashir Farooq Faculty of Computer Science and Software Engineering Huaiyin Institute of TechnologyHuai'anChina department of mathematics COMSATS University IslamabadPark Road Chak Shahzad Islamabad 44000Pakistan department of mathematics College of Sciences AIZulfiMajmaah UniversityA1 Majma'ah11952 Saudi Arabia department of mathematics Imam Muhammad ibn Saud Islamic UniversityRiyadh 11432Saudi Arabia department of mathematics University of the Poonch RawalakotRawalakot 12350Pakistan

The aspiration of this research is to explore the impact of non-similar modeling for mixed convection in magnetized second-grade nanofluid *** flow is initiated by the stretching of a sheet at an exponential rate in the upward vertical *** buoyancy effects in terms of temperature and concentration differences are inserted in the x-momentum *** aspects of heat and mass transfer are studied using dimensionless thermophoresis,Schmidt and Brownian motion *** governing coupled partial differential system(PDEs)is remodeled into coupled non-similar nonlinear PDEs by introducing non-similar *** numerical analysis for the dimensionless non-similar partial differential system is performed using a local non-similarity method via ***,the quantitative effects of emerging dimensionless quantities on the nondimensional velocity,temperature and mass concentration in the boundary layer are conferred graphically,and inferences are drawn that important quantities of interest are substantially affected by these *** is concluded that non-similar modeling,in contrast to similar models,is more general and more accurate in convection studies in the presence of buoyancy effects for second-grade non-Newtonian fluids.

关键词： non-similar modeling second-grade fluid exponentially stretching surface local non-similarity bvp4c

Effects of dietary vitamin E on male reproductive system

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Asian pacific Journal of Reproduction 2017年第4期6卷 145-150页

作者： Muhammad Zubair Faculty of Veterinary Sciences university of poonch RawalakotAzad kashmir

Vitamin E is known as important antioxidant to protect the reproductive system. The free radicals are continuously produced in last few years due to metabolic and nutritional deficiencies. These free radicals are responsible for the production of oxidative stress in animal bodies. This production of extensive amount of oxidative stress caused the detrimental effects on the sperm and various other male parameters. This imbalance between the antioxidants and oxidative stress, leads to the condition of infertility in male. Antioxidants play an important role for eliminating of these free radicals. Vitamin E is one of the best antioxidants for the removal of oxidative stress in male reproductive system. Its use increases the reproductive functions and efficiency of male reproductive system. The deficiency of this vitamin leads to degeneration of germinal epithelium and Leydig cells in seminiferous tubules. The use of selenium and vitamin E has the synergistic effects on the male reproductive system. The objective of this review was to collect the beneficial roles of this vitamin along selenium on reproductive system of birds and different animals. This review will also collect the different doses along the beneficial roles on different parameters of male reproductive system.

关键词： Vitamin E Semen Antioxidants enzymes Birds and mammals

One-pot Synthesis,Characterization and Crystal Structure Determination of Novel 1,4,5-Trisubstituted 1,2,3-Triazole with Two Conformational Isomers:1-Benzyl-5-((4-methoxyphenyl)ethynyl)-4-phenyl-1H-1,2,3-triazole

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Chinese Journal of Structural Chemistry 2016年第1期35卷 55-60页

作者： AHMED Muhammad Naeem YASIN Khawaja Ansar KHAN Bilal Ahmad RIAZ Muhammad SADIQ-UR-REHMAN LO Kong Mun NASEER Muhammad Moazzam ARSHAD Ifzan IRSHAD Muhammad department of Chemistry The University of Azad Jammu and Kashmir department of Chemistry University of Malaya department of Chemistry Quaid-i-Azam University department of Chemistry University of Poonch Rawalakot Azad Kashmir

The title compound l-benzyl-5-（（4-methoxyphenyl）ethynyl）-4-phenyl-1H-1,2,3-triazole（C24H19N3O） was designed and synthesized using one-pot strategy and structural characterization was done by single-crystal X-ray diffraction,NMR,IR and *** compound was crystallized out from an ethanolic solution in triclinic system,space group P1 with a =9.9038（9）,b = 10.2928（9）,c = 18.8715（19）A°,α = 103.541（6）,β = 90.507（7）,γ = 97.157（7）°,V =1854.2（3） A°3,Z = 4,crystal size（mm） = 0.25 × 0.1 × 0.1 and R（int） = *** asymmetric unit contains two independent *** crystal structure of the title compound is stabilized by intramolecular interactions of types C-H…N and C-H…***,X-ray analysis reveals obvious C-H…π,π-π stacking interactions between two adjacent aromatic ring planes.

关键词： click chemistry trisubstituted triazole alkyne crystal structure C–H…π interactions

Effects of medicinal plants on Alzheimer＇s disease and memory deficits

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Neural Regeneration Research 2017年第4期12卷 660-670页

作者： Muhammad Akram Allah Nawaz department of Eastern Medicine and Surgery Faculty of Medical and Health Sciences The University of Poonch Rawalakot Azad Jammu and Kashmir Pakistan First department of Internal Medicine Faculty of Medicine University of Toyama Toyama Japan

Alzheimer＇s disease is an age-related neurodegenerative disorder characterized by memory deficits. Various studies have been carried out to find therapeutic approaches for Alzheimer＇s disease. However, the proper treatment option is still not available. There is no cure for Alzheimer＇s disease, but symptomatic treatment may improve the memory and other dementia related problems. Traditional medicine is practiced world- wide as memory enhancer since ancient times. Natural therapy including herbs and medicinal plants has been used in the treatment of memory deficits such as dementia, amnesia, as well as Alzheimer＇s disease since a long time. Medicinal plants have been used in different systems of medicine, particularly Unani system of medicines and exhibited their powerful roles in the management and cure of memory disorders. Most of herbs and plants have been chemically evaluated and their efficacy has also been proven in clinical trials. However, the underlying mechanisms of actions are still on the way. In this paper, we have reviewed the role of different medicinal plants that play an important role in the treatment of Alzheimer＇s disease and memory deficits using conventional herbal therapy.

关键词： nerve regeneration memory Alzheimer's disease medicinal plants efficacy literature review neural regeneration

Unsupervised Color Segmentation with Reconstructed Spatial Weighted Gaussian Mixture Model and Random Color Histogram

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Computers, Materials & Continua 2024年第3期78卷 3323-3348页

作者： Umer Sadiq Khan Zhen Liu Fang Xu Muhib Ullah Khan Lerui Chen Touseef Ahmed Khan Muhammad Kashif Khattak Yuquan Zhang School of Computer and Information Science Hubei Engineering UniversityXiaogan432000China Institute for AI Industrial Technology Research Hubei Engineering UniversityXiaogan432000China Key Lab of Mountain Hazards and Surface Processes Institute of Mountain Hazards and EnvironmentChinese Academy of SciencesChengdu610041China university of Chinese Academy of Sciences Beijing100049China College of Aviation Zhongyuan University of TechnologyZhengzhou451191China Research Center of Digital Mountain and Remote Sensing Application Institute of Mountain Hazards and EnvironmentChinese Academy of SciencesChengdu610041China School of Computer Science University of PoonchAzad Jammu Kashmir12350Pakistan School of Computer Science and Information Engineering Hubei UniversityWuhan430062China

Image classification and unsupervised image segmentation can be achieved using the Gaussian mixture *** the Gaussian mixture model enhances the flexibility of image segmentation,it does not reflect spatial information and is sensitive to the segmentation *** this study,we first present an efficient algorithm that incorporates spatial information into the Gaussian mixture model(GMM)without parameter *** proposed model highlights the residual region with considerable information and constructs color ***,we incorporate the content-based color saliency as spatial information in the Gaussian mixture *** segmentation is performed by clustering each pixel into an appropriate component according to the expectation maximization and maximum ***,the random color histogram assigns a unique color to each cluster and creates an attractive color by default for segmentation.A random color histogram serves as an effective tool for data visualization and is instrumental in the creation of generative art,facilitating both analytical and aesthetic *** experiments,we have used the Berkeley segmentation dataset BSDS-500 and Microsoft Research in Cambridge *** the study,the proposed model showcases notable advancements in unsupervised image segmentation,with probabilistic rand index(PRI)values reaching 0.80,BDE scores as low as 12.25 and 12.02,compactness variations at 0.59 and 0.7,and variation of information(VI)reduced to 2.0 and 1.49 for the BSDS-500 and MSRC datasets,respectively,outperforming current leading-edge methods and yielding more precise segmentations.

关键词： Unsupervised segmentation color saliency spatial weighted GMM random color histogram

Qualitative properties and bifurcations of discrete-time Bazykin–Berezovskaya predator–prey model

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International Journal of Biomathematics 2020年第6期13卷 23-51页

作者： A.A.Elsadany Qamar Din S.M.Salman department of mathematics College of Science and Humanities in Al-Kharj Prince Sattam bin Abdulaziz University Al-Kharj 11942Saudi Arabia department of Basic Science Faculty of Computers and Informatics IsmailiaSuez Canal UniversityEgypt department of mathematics The University of Poonch Rawalakot Hawalakot 12350Pakistan department of mathematics Faculty of EducationAlexandria University AlexandriaEgypt

The positive connection between the total individual fitness and population density is called the demographic Allee effect.A demographic Allee effect with a critical population size or density is strong Allee *** this paper,discrete counterpart of Bazykin–Berezovskaya predator–prey model is introduced with strong Allee *** steady states of the model,the existence and local stability are ***,proposed discrete-time Bazykin–Berezovskaya predator–prey is obtained via implementation of piecewise constant method for differential *** model is compared with its continuous counterpart by applying higher-order implicit Runge–Kutta method(IRK)with very small step *** comparison yields that discrete-time model has sensitive dependence on initial *** implementing center manifold theorem and bifurcation theory,we derive the conditions under which the discrete-time model exhibits flip and Niemark–Sacker ***,numerical simulations are provided to validate the theoretical results.

关键词： Bazykin-Berezovskaya model period-doubling bifurcation Niemark-Sacker bifurcation transcritical bifurcation Chaotic dynamics

Effect of Plant Growth-Promoting Rhizobacteria on Growth,Nodulation and Nutrient Accumulation of Lentil Under Controlled Conditions

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Pedosphere 2012年第6期22卷 848-859页

作者： M.ZAFAR M.K.ABBASI M.A.KHAN A.KHALIQ T.SULTAN M.ASLAM department of Soil and Environmental Sciences The University of PoonchRawalakot Azad Jammu and Kashmir(Pakistan) Soil Biology Laboratory Land Resources Research Program(LRRP)National Agriculture Research Council(NARC)Islamabad(Pakistan)

Application of plant growth-promoting rhizobacteria （PGPR） has been shown to increase legume growth and development under field and controlled environmental conditions. The present study was conducted to isolate plant growth-promoting rhizobacteria （PGPR） from the root nodules of lentil （Lens culinaris Medik.） grown in arid/semi-arid region of Punjab, Pakistan and examined their plant growth-promoting abilities. Five bacterial isolates were isolated, screened in vitro for plant growth-promoting （PGP） characteristics and their effects on the growth of lentil were assessed under in vitro, hydroponic and greenhouse （pot experiment） conditions. All the isolates were Gram negative, rod-shaped and circular in form and exhibited the plant growth-promoting attributes of phosphate solubilization and auxin （indole acetic acid, IAA） production. The IAA production capacity ranged in 0.5-11.0μg mL-1 and P solubilization ranged in 3-16 mg L-1. When tested for their effects on plant growth, the isolated strains had a stimulatory effect on growth, nodulation and nitrogen （N） and phosphorus （P） uptake in plants on nutrient-deficient soil. In the greenhouse pot experiment, application of PGPR significantly increased shoot length, fresh weight and dry weight by 65%, 43% and 63% and the increases in root length, fresh weight and dry weight were 74%, 54% and 92%, respectively, as compared with the uninoculated control. The relative increases in growth characteristics under in vitro and hydroponic conditions were even higher. PGPR also increased the number of pods per plant, 1 000-grain weight, dry matter yield and grain yield by 50%, 13%, 2870 and 29%, respectively, over the control. The number of nodules and nodule dry mass increased by 170% and 136%, respectively. After inoculation with effective bacterial strains, the shoot, root and seed N and P contents increased, thereby increasing both N and P uptake in plants. The root elongation showed a positive correlation （R2 = 0.67） with th

关键词： indole acetic acid inoculation nodules nutrient uptake phosphate solubilization