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Find the rabbit and fox population as a function of time
Find the rabbit and fox population as a function of time











find the rabbit and fox population as a function of time

Rabbits were introduced to Britain during the 12th Century, and during the Middle Ages, the breeding and farming of rabbits for meat and fur became widespread throughout Europe. Monks were almost certainly the first to keep rabbits in cages as a readily available food source, and the first to experiment with selective breeding for traits such as weight or fur colour. Wild rabbits are said to have been first domesticated in the 5th Century by the monks of the Champagne Region in France. The European rabbit became widespread in North America and Australia, for example, where the wild rabbit has become a troublesome pest to farmers and conservationists. Wild rabbits thrived in many new locations, and populations grew rapidly in countries with suitable habitat and few natural predators. The European rabbit continued to be introduced to new countries as they were explored, or colonised by European adventurers and pioneers. With their rapid reproduction rate, and the increasing cultivation of land providing ideal habitat, rabbits soon established large populations in the wild. The spread of the Roman empire, along with increasing trade between countries, helped to introduce the European rabbit into many more parts of Europe and Asia. Inevitably, the rabbits tried to escape and it is perhaps no surprise that the latin name 'Oryctolagus cuniculus' means 'hare-like digger of underground tunnels'. The Romans called this practice 'cuniculture' and kept the rabbits in fenced enclosures. When the Romans arrived in Spain around 200BC, they began to farm the native rabbits for their meat and fur. The European wild rabbit evolved around 4,000 years ago on the Iberian Peninsula, the name 'Hispania' (Spain) is translated from the name given to that area by Phoenician merchants, meaning 'land of the rabbits'. It is a seperate species from other native rabbits such as the North American jackrabbits and cottontail rabbits and all species of hares.

find the rabbit and fox population as a function of time

There are currently more than 60 recognised breeds of domestic rabbit in Europe and America, all of them descended from the European rabbit (Oryctolagus cuniculus), the only species of rabbit to have been widely domesticated. The break-up of continents during this period may be responsible for the wide distribution of differing species of rabbits and hares around the world, with the exception of Australia. Fossil records suggest that Lagomorpha evolved in Asia at least 40 million years ago, during the Eocene period. Rabbits belong to the order of mammals called Lagomorpha, which includes 40 or so species of rabbits, hares and Pikas. Fossil records suggest that Lagomorpha evolved in Asia. append ( ( max ( sol ) - min ( sol ) ) / 2.Rabbits belong to the order of mammals called Lagomorpha, which includes 40 or so species of rabbits, hares and Pikas. #amplitude is max-min/ 2 # sol prey & solpredator birthrate = srange ( 0.1, 1.5, 0.1 ) var ( "N, P" ) amplitudes = for b in birthrate : t = srange ( 0, 100, 0.1 ) sol = desolve_odeint (, ics =, dvars =, times = t ) amplitudes.

find the rabbit and fox population as a function of time

#We can do many numerical experiments to see the effects of changing a parameter. HINT: You can use the functions max and min, which return the maximum and minimum values of a list, to measure oscillation amplitude. Plot your results and describe any trend you see. Use birth rate values ranging from 0.1 to 1.5 in steps of 0.1.

find the rabbit and fox population as a function of time

#increased birthrate of the prey, the prey population begins to surpass the predator population, the predator population also decreases #11 Run a parameter scan to test the effect of the prey birth rate on the amplitude of the prey oscillations.













Find the rabbit and fox population as a function of time