Inceptions of biomathematics from Lotka to Thom.
نویسنده
چکیده
Mathematical biology occupies a special place at the interface between the physical, mathematical and life sciences. Is this interface merely a meeting point for dabblers venturing out of their own proper domains to work on problems of mutual interest? Or is it an incipient science in its own right, with its own particular character, principles, and practices? The past century has seen vast advances in the application of mathematical and physical ideas and techniques to biological problems, in the process transforming many of them almost beyond recognition. Nonetheless, the question of a biomathematics as a new kind of science remains open, despite several fascinating, if sometimes problematic, attempts.
منابع مشابه
Research Article Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses
In biomathematics, many mathematical models have been established to describe the relationships between species and the outer environment, and the connections between different species. Among the relationships between the species living in the same outer environment, the predator-prey theory plays an important and fundamental role. The dynamic relationship between predators and their prey has l...
متن کاملLecture 8 Biomathematics ( FMAN 01 )
So what happens when b is small? The graph below illustrates (for a = 1, d = 0.1) what happens when we increase b from 0.1 to 0.5. For b ≥ 0.26 we have a stable equilibrium, whereas when b < 0.26 the orbits approch a so-called limit cycle. In contrast to the Lotka-Volterra model this cycle is independent of starting conditions (but depends on parameters). Why there is a limit cycle and why it i...
متن کاملAn Analysis on The Lotka-Volterra Food Chain Model: Stability
The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A syst...
متن کاملThe Efficiency of Harvested Factor; Lotka-Volterra Predator-Prey Model
Scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. Thus, the harvested rate is used as the control parameters. Moreover, the study of harvested population dynamics is more realistic. In the present paper, some predator-prey models in which two ecologically inte...
متن کاملتأثیرچند حشرهکش فسفره و پایرتروئیدی روی مراحل مختلف رشدی زنبور پارازیتوئید تخم سن گندم Trissolcus grandis (Thom.) (Hymenoptera: Scelionidae)
The egg parasitoids are the major natural enemies of sunn pest and application of selective insecticides is one of the strategies for conservation of natural enemies. The toxicity of five different insecticides used in cereal fields to the parasitized eggs was investigated under laboratory conditions. The insecticide solutions were made based on the recommended field rates. 3-, 5- and 8- day -o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Science progress
دوره 100 1 شماره
صفحات -
تاریخ انتشار 2017