The second problem is that the model does not take into account the choice of sex and also the memory effect. The above model has some limitations, the variation of growth of population is an average between two given times, which is not naturally true because the averaging is not the same at the different interval of time. b is an average probability of a death of a person within a year. In this equation, the size of a population is denoted by n time is measured in years, a is half of the average probability of a birth of male also for females, of a potential arbitrary parents pair within a is year. It is a deterministic conventional discrepancy equation in which the rate change is articulated as a quadratic function of the population size and this equation is given as: Nonetheless, Nurgaliev’s law is a mathematical equation that portrays the rate of change of proportions of a population at a given time, in terms of the current population size. Thomas Malthus was one of the former to demonstrate that, inhabitants evolved with symmetrical configuration despite the fact that envisioning the providence of humankind. Population reproductions are employed to control maximum fruitage for agriculturists, to comprehend the changing aspects of biotic annexations, and have plentiful environmental safeguarding insinuations. Nevertheless, a embarrassment of patterns can be perceived and are brought forth by using inhabitants demonstrating as an instrument. Earth’s processes affect human life and are momentously stochastic and seem disordered to naked eye. The biosphere is full of interfaces that varies from modest to dynamic. The aim of this paper is to provide a new model that will be able to describe the population growth more accurately.īiological population demonstrating is worried with the changes in populace size and age spreading within a population as a significance of collaborations of creatures with the physical setting, with individuals of their own species, and with bacteria of other kinds. Indeed exhibiting of dynamic interactions in nature can provide a manageable way of understanding how numbers alter in excess of time or relation to each other. Generally speaking mathematical models allows a better thoughtful of how the complex interfaces and processes work. It is therefore important that in both cased the mathematical formulas should be able to portray more accurately the dynamic of the specie in time. In case of infectious diseases, the aim is to end the spread of the virus that can considered as a specie, in this case also the control can be done via mathematical predictions. A global protection of whale in all oceans and Africans elephants that are nowadays consider as rare species. In China, we have the protection of the tigers. We can find many examples of this in developed countries, for instance in South Africa, the government gave strict law against the killing of rhinos. However if the model is accurate enough they can give reliable predictions, if the predictions show the extinction of a given species, then laws-makers can take some decisions to protect the specie. For instance to control the spread of a given infectious diseases researchers are interested in their reproductive number, that help to know whether or not the disease will be extinct. This study has fascinated many researchers around the world in recent passed years. Researchers within the field of biology and mathematical biology are interested to know whether or not the certain specie will be instinct or not.
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