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ڈاکٹر وحید مرز ا

آہ! ڈاکٹر وحید مرزا
گزشتہ ماہ ریڈیو سے خبر ملی کہ اس برصغیر کے ایک بہت ہی لائق اور ممتاز اہل علم ڈاکٹر وحید مرزا کی وفات لاہور میں ہوگئی، اس خبر سے بڑا دکھ ہوا، ان سے میری ملاقات زیادہ نہیں رہی، اب سے ۳۵ سال پہلے ۱۹۴۱؁ء میں دہرہ دون میں تو ان سے برابر ملنے کا موقع ملا، اس کے بعد پھر کہیں ان سے نہیں ملا، مگر وہ اس وقت سے برابر دل و دماغ پر چھائے رہے ہیں ۱۹۴۱؁ء میں ایک طویل علالت کے بعد دہرہ دون جاکر تقریباً تین مہینے رہا، سرسید احمد خان ہم عصر اور دوست منشی ذکا اﷲ مرحوم کے نامور فرزند جناب عنایت اﷲ صاحب نے اپنی کوٹھی کے دو کمرے میرے قیام کے لئے دے دیئے تھے، اسی زمانہ میں لکھنؤ سے ڈاکٹر وحید مرزا دہرہ دون آکر اپنے خسر جناب رضاء اﷲ کے یہاں مقیم تھے، جو جناب عنایت اﷲ صاحب کے چھوٹے بھائی تھے، انجینئر کے عہدہ سے ریٹائر ہوکر دہرہ دون میں ایک بنگلہ بنایا تھا، دونوں بزرگوں کا وطن دہلی تھا، مگر عنایت اﷲ صاحب نے دہرہ دون ہی میں ڈالن والاکے سیمی روڈ پر منتقل سکونت اختیار کرلی تھی، ان ہی کے بنگلہ کی پشت پر رضا اﷲ صاحب کا بنگلہ تھا، ڈاکٹر وحید مرزا ان دنوں لکھنؤ یونیورسٹی میں استاذ تھے، وہ دہرہ دون آئے تو عنایت اﷲ صاحب کو سلام کرنے آئے، وہیں ان سے میرا تعارف ہوا، قد لمبا اور جسم دبلا پتلا تھا، دونوں گال پچکے ہوئے تھے، کیونکہ منہ کے تمام دانت نکلوا دیئے تھے، پتلون اور قمیض پہنے ہوئے تھے، بڑے متین اور سنجیدہ نظر آئے، خاموش بیٹھے رہے، عنایت اﷲ صاحب کی باتوں کا جواب بہت ہی مختصر طریقے پر دے کر خاموش ہوجاتے، جب وہ اٹھ کر چلے گئے تو عنایت اﷲ صاحب...

Muslim-Christian Relationship in the Context of Status of Prophet Muhammad SAW

The question of the status of Prophet Muhammad has been one of  the most crucial and controversial issue of Muslims-Christian relations since the advent of Islam. In almost every Muslim-Christian encounter, the question of Christian acknowledgement of prophet-hood of Muhammad has been raised. Muslim ask, when we accept and regard Jesus as a prophet, why you (Christian) do not recipro-cate by giving the same status to prophet Muhammad. The present        study is an attempt to analyze the points which  Kenneth Cragg has raised, In response of the Muslims, who say, why the Christian don’t give such respect to Muhammad(SAW)  as the Muslim give to Jesus. In this study I proved that Cragg’s answer is not only against the Holy Quran but also against  The teachings of Gospel and the only reason for this disregard Is prejudicial and polemical.

Transmission Dynamics and Mathematical Analysis of the Infectious Diseases

Mathematical modeling has proved to be an essential tool for the development of control strategies and distinguishing the determinants of dynamics of the disease. A key determinant of a given potential of a model to help with such measurements is the availability of data to parameterize the model. For developing countries in particular, data are often scarce and difficult to collect. It is therefore important to understand the types of data needed for a successful modeling project. Infectious diseases are a persistent problem worldwide, potentially threatening all those who get in touch with them. This thesis attempts to improve our understanding of infectious diseases by develop mathematical models for cellular dynamics of human infectious diseases. This was achieved through the investigation of interaction between infectious agents and cells of humoral and cell-mediated immune response. In this thesis, we look at different types of models such as measles, HIV , dengue, SIR and diabetes. Sensitivity analysis of these models are provided by threshold and number of reproductions (i.e reproductive number), as well as analyzed qualitatively and also check the stability analysis of these models. A nonlinear mathematical model is used to study and evaluate the dynamics of measles, HIV, diabetic dengue and its impact on public health in the community. we developed a non-standard finite difference scheme by applying the Micken approach f(h) = h+O(h2) instead of h to control the spread of bad impact of diseases in society, which is dynamically consistent, easy to implement, converges unconditionally and shows a good agreement to control the harmful effects of diseases in our population that are causes of death. Numerical simulations are also established to explore the effect of system parameters on the propagation of the disease. In this thesis we propose a fractional order model to describe the dynamics of human immunodeficiency virus (HIV) infection. A nonlinear time fractional model is used in order to understand the outbreaks of this epidemic diseases. Verify the non-negative unique solution of the developed fractional order models. The Caputo fractional derivative operator of order ae(0;1] is employed to obtain the fractional differential equations. Laplace adomian decomposition method has been employed to solve these fractional order models. Finally, some numerical results presented show the effect of the fractional parameters a and f on our solutions obtained.Finally, some numerical results presented show the effect of the fractional parameters a and f on our solutions obtained. The LADM is applied to give an approximate solution of nonlinear fractional ordinary differential equation system of models with different fractional values.
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